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Finding the Fourth Proportional to 31,988.83, 47,988.92 and 15,378.97

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Solution

The fourth proportional to 31,988.83, 47,988.92 and 15,378.97 is: 23,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988.83 : 47,988.92 = 15,378.97 : x
  2. Step 2: Convert to fraction form
    31,988.83/47,988.92 = 15,378.97/x
  3. Step 3: Cross multiply
    31,988.83x = 47,988.92 × 15,378.97
  4. Step 4: Simplify right side
    31,988.83x = 738,020,161.01
  5. Step 5: Solve for x
    x = 738,020,161.01/31,988.83
  6. Step 6: Final answer
    x = 23,071.18

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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.