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Finding the Fourth Proportional to 7,171.88, 9,892.71 and 4,929.86

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Solution

The fourth proportional to 7,171.88, 9,892.71 and 4,929.86 is: 6,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.88 : 9,892.71 = 4,929.86 : x
  2. Step 2: Convert to fraction form
    7,171.88/9,892.71 = 4,929.86/x
  3. Step 3: Cross multiply
    7,171.88x = 9,892.71 × 4,929.86
  4. Step 4: Simplify right side
    7,171.88x = 48,769,625.86
  5. Step 5: Solve for x
    x = 48,769,625.86/7,171.88
  6. Step 6: Final answer
    x = 6,800.12

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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.