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Finding the Fourth Proportional to 9,978.76, 13,771 and 6,151.24

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Solution

The fourth proportional to 9,978.76, 13,771 and 6,151.24 is: 8,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.76 : 13,771 = 6,151.24 : x
  2. Step 2: Convert to fraction form
    9,978.76/13,771 = 6,151.24/x
  3. Step 3: Cross multiply
    9,978.76x = 13,771 × 6,151.24
  4. Step 4: Simplify right side
    9,978.76x = 84,708,726.04
  5. Step 5: Solve for x
    x = 84,708,726.04/9,978.76
  6. Step 6: Final answer
    x = 8,488.90

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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.