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Finding the Fourth Proportional to 31,916.92, 47,873.65 and 9,728.57

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Solution

The fourth proportional to 31,916.92, 47,873.65 and 9,728.57 is: 14,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.92 : 47,873.65 = 9,728.57 : x
  2. Step 2: Convert to fraction form
    31,916.92/47,873.65 = 9,728.57/x
  3. Step 3: Cross multiply
    31,916.92x = 47,873.65 × 9,728.57
  4. Step 4: Simplify right side
    31,916.92x = 465,742,155.18
  5. Step 5: Solve for x
    x = 465,742,155.18/31,916.92
  6. Step 6: Final answer
    x = 14,592.33

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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.