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Finding the Fourth Proportional to 19,359.68, 29,074 and 15,856.32

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Solution

The fourth proportional to 19,359.68, 29,074 and 15,856.32 is: 23,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359.68 : 29,074 = 15,856.32 : x
  2. Step 2: Convert to fraction form
    19,359.68/29,074 = 15,856.32/x
  3. Step 3: Cross multiply
    19,359.68x = 29,074 × 15,856.32
  4. Step 4: Simplify right side
    19,359.68x = 461,006,647.68
  5. Step 5: Solve for x
    x = 461,006,647.68/19,359.68
  6. Step 6: Final answer
    x = 23,812.72

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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.