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Finding the Fourth Proportional to 8,286, 11,434.76 and 4,560.08

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Solution

The fourth proportional to 8,286, 11,434.76 and 4,560.08 is: 6,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 11,434.76 = 4,560.08 : x
  2. Step 2: Convert to fraction form
    8,286/11,434.76 = 4,560.08/x
  3. Step 3: Cross multiply
    8,286x = 11,434.76 × 4,560.08
  4. Step 4: Simplify right side
    8,286x = 52,143,420.38
  5. Step 5: Solve for x
    x = 52,143,420.38/8,286
  6. Step 6: Final answer
    x = 6,292.95

Related Problems

Find fourth proportional to 4,143, 5,717.38 and 2,280.04
Half scale
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Double scale
Find fourth proportional to 8,287, 11,436.14 and 4,561.08
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.