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Finding the Fourth Proportional to 8,269, 11,406.12 and 5,436.76

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Solution

The fourth proportional to 8,269, 11,406.12 and 5,436.76 is: 7,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269 : 11,406.12 = 5,436.76 : x
  2. Step 2: Convert to fraction form
    8,269/11,406.12 = 5,436.76/x
  3. Step 3: Cross multiply
    8,269x = 11,406.12 × 5,436.76
  4. Step 4: Simplify right side
    8,269x = 62,012,336.97
  5. Step 5: Solve for x
    x = 62,012,336.97/8,269
  6. Step 6: Final answer
    x = 7,499.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 8,270, 11,407.50 and 5,437.76
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.