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Finding the Fourth Proportional to 9,929.80, 13,698.78 and 6,151.96

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Solution

The fourth proportional to 9,929.80, 13,698.78 and 6,151.96 is: 8,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.80 : 13,698.78 = 6,151.96 : x
  2. Step 2: Convert to fraction form
    9,929.80/13,698.78 = 6,151.96/x
  3. Step 3: Cross multiply
    9,929.80x = 13,698.78 × 6,151.96
  4. Step 4: Simplify right side
    9,929.80x = 84,274,346.61
  5. Step 5: Solve for x
    x = 84,274,346.61/9,929.80
  6. Step 6: Final answer
    x = 8,487.01

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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.