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Finding the Fourth Proportional to 10,374.68, 15,561.96 and 2,979.17

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Solution

The fourth proportional to 10,374.68, 15,561.96 and 2,979.17 is: 4,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.68 : 15,561.96 = 2,979.17 : x
  2. Step 2: Convert to fraction form
    10,374.68/15,561.96 = 2,979.17/x
  3. Step 3: Cross multiply
    10,374.68x = 15,561.96 × 2,979.17
  4. Step 4: Simplify right side
    10,374.68x = 46,361,724.37
  5. Step 5: Solve for x
    x = 46,361,724.37/10,374.68
  6. Step 6: Final answer
    x = 4,468.74

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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.