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Finding the Fourth Proportional to 6,402.36, 9,607.90 and 3,929.64

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Solution

The fourth proportional to 6,402.36, 9,607.90 and 3,929.64 is: 5,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.36 : 9,607.90 = 3,929.64 : x
  2. Step 2: Convert to fraction form
    6,402.36/9,607.90 = 3,929.64/x
  3. Step 3: Cross multiply
    6,402.36x = 9,607.90 × 3,929.64
  4. Step 4: Simplify right side
    6,402.36x = 37,755,588.16
  5. Step 5: Solve for x
    x = 37,755,588.16/6,402.36
  6. Step 6: Final answer
    x = 5,897.14

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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.