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Finding the Fourth Proportional to 31,757.50, 47,636.16 and 8,383.78

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Solution

The fourth proportional to 31,757.50, 47,636.16 and 8,383.78 is: 12,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.50 : 47,636.16 = 8,383.78 : x
  2. Step 2: Convert to fraction form
    31,757.50/47,636.16 = 8,383.78/x
  3. Step 3: Cross multiply
    31,757.50x = 47,636.16 × 8,383.78
  4. Step 4: Simplify right side
    31,757.50x = 399,371,085.48
  5. Step 5: Solve for x
    x = 399,371,085.48/31,757.50
  6. Step 6: Final answer
    x = 12,575.65

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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.