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Finding the Fourth Proportional to 10,375.76, 15,565.95 and 2,979.64

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Solution

The fourth proportional to 10,375.76, 15,565.95 and 2,979.64 is: 4,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.76 : 15,565.95 = 2,979.64 : x
  2. Step 2: Convert to fraction form
    10,375.76/15,565.95 = 2,979.64/x
  3. Step 3: Cross multiply
    10,375.76x = 15,565.95 × 2,979.64
  4. Step 4: Simplify right side
    10,375.76x = 46,380,927.26
  5. Step 5: Solve for x
    x = 46,380,927.26/10,375.76
  6. Step 6: Final answer
    x = 4,470.12

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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.