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Finding the Fourth Proportional to 31,373.71, 47,057.12 and 9,187.31

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Solution

The fourth proportional to 31,373.71, 47,057.12 and 9,187.31 is: 13,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.71 : 47,057.12 = 9,187.31 : x
  2. Step 2: Convert to fraction form
    31,373.71/47,057.12 = 9,187.31/x
  3. Step 3: Cross multiply
    31,373.71x = 47,057.12 × 9,187.31
  4. Step 4: Simplify right side
    31,373.71x = 432,328,349.15
  5. Step 5: Solve for x
    x = 432,328,349.15/31,373.71
  6. Step 6: Final answer
    x = 13,779.96

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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.