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Finding the Fourth Proportional to 10,854.92, 14,978.04 and 6,138.56

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Solution

The fourth proportional to 10,854.92, 14,978.04 and 6,138.56 is: 8,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.92 : 14,978.04 = 6,138.56 : x
  2. Step 2: Convert to fraction form
    10,854.92/14,978.04 = 6,138.56/x
  3. Step 3: Cross multiply
    10,854.92x = 14,978.04 × 6,138.56
  4. Step 4: Simplify right side
    10,854.92x = 91,943,597.22
  5. Step 5: Solve for x
    x = 91,943,597.22/10,854.92
  6. Step 6: Final answer
    x = 8,470.22

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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.