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Finding the Fourth Proportional to 19,854.71, 29,724.51 and 15,458.84

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Solution

The fourth proportional to 19,854.71, 29,724.51 and 15,458.84 is: 23,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.71 : 29,724.51 = 15,458.84 : x
  2. Step 2: Convert to fraction form
    19,854.71/29,724.51 = 15,458.84/x
  3. Step 3: Cross multiply
    19,854.71x = 29,724.51 × 15,458.84
  4. Step 4: Simplify right side
    19,854.71x = 459,506,444.17
  5. Step 5: Solve for x
    x = 459,506,444.17/19,854.71
  6. Step 6: Final answer
    x = 23,143.45

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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.