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Finding the Fourth Proportional to 31,502.22, 47,239.11 and 9,307.86

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Solution

The fourth proportional to 31,502.22, 47,239.11 and 9,307.86 is: 13,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.22 : 47,239.11 = 9,307.86 : x
  2. Step 2: Convert to fraction form
    31,502.22/47,239.11 = 9,307.86/x
  3. Step 3: Cross multiply
    31,502.22x = 47,239.11 × 9,307.86
  4. Step 4: Simplify right side
    31,502.22x = 439,695,022.40
  5. Step 5: Solve for x
    x = 439,695,022.40/31,502.22
  6. Step 6: Final answer
    x = 13,957.59

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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.