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Finding the Fourth Proportional to 8,458.16, 12,623 and 8,261.60

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Solution

The fourth proportional to 8,458.16, 12,623 and 8,261.60 is: 12,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.16 : 12,623 = 8,261.60 : x
  2. Step 2: Convert to fraction form
    8,458.16/12,623 = 8,261.60/x
  3. Step 3: Cross multiply
    8,458.16x = 12,623 × 8,261.60
  4. Step 4: Simplify right side
    8,458.16x = 104,286,176.80
  5. Step 5: Solve for x
    x = 104,286,176.80/8,458.16
  6. Step 6: Final answer
    x = 12,329.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.