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Finding the Fourth Proportional to 6,487.89, 9,742.76 and 6,436.86

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Solution

The fourth proportional to 6,487.89, 9,742.76 and 6,436.86 is: 9,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.89 : 9,742.76 = 6,436.86 : x
  2. Step 2: Convert to fraction form
    6,487.89/9,742.76 = 6,436.86/x
  3. Step 3: Cross multiply
    6,487.89x = 9,742.76 × 6,436.86
  4. Step 4: Simplify right side
    6,487.89x = 62,712,782.13
  5. Step 5: Solve for x
    x = 62,712,782.13/6,487.89
  6. Step 6: Final answer
    x = 9,666.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.