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Finding the Fourth Proportional to 31,915.34, 47,879.90 and 9,728.12

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Solution

The fourth proportional to 31,915.34, 47,879.90 and 9,728.12 is: 14,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.34 : 47,879.90 = 9,728.12 : x
  2. Step 2: Convert to fraction form
    31,915.34/47,879.90 = 9,728.12/x
  3. Step 3: Cross multiply
    31,915.34x = 47,879.90 × 9,728.12
  4. Step 4: Simplify right side
    31,915.34x = 465,781,412.79
  5. Step 5: Solve for x
    x = 465,781,412.79/31,915.34
  6. Step 6: Final answer
    x = 14,594.28

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1.5x scale

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.