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Finding the Fourth Proportional to 31,647.68, 47,461.79 and 15,002.79

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Solution

The fourth proportional to 31,647.68, 47,461.79 and 15,002.79 is: 22,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.68 : 47,461.79 = 15,002.79 : x
  2. Step 2: Convert to fraction form
    31,647.68/47,461.79 = 15,002.79/x
  3. Step 3: Cross multiply
    31,647.68x = 47,461.79 × 15,002.79
  4. Step 4: Simplify right side
    31,647.68x = 712,059,193.38
  5. Step 5: Solve for x
    x = 712,059,193.38/31,647.68
  6. Step 6: Final answer
    x = 22,499.57

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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.