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Finding the Fourth Proportional to 31,916.25, 47,874.38 and 8,542.08

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Solution

The fourth proportional to 31,916.25, 47,874.38 and 8,542.08 is: 12,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.25 : 47,874.38 = 8,542.08 : x
  2. Step 2: Convert to fraction form
    31,916.25/47,874.38 = 8,542.08/x
  3. Step 3: Cross multiply
    31,916.25x = 47,874.38 × 8,542.08
  4. Step 4: Simplify right side
    31,916.25x = 408,946,783.91
  5. Step 5: Solve for x
    x = 408,946,783.91/31,916.25
  6. Step 6: Final answer
    x = 12,813.12

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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.