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Finding the Fourth Proportional to 31,987.27, 47,980.90 and 16,394.95

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Solution

The fourth proportional to 31,987.27, 47,980.90 and 16,394.95 is: 24,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987.27 : 47,980.90 = 16,394.95 : x
  2. Step 2: Convert to fraction form
    31,987.27/47,980.90 = 16,394.95/x
  3. Step 3: Cross multiply
    31,987.27x = 47,980.90 × 16,394.95
  4. Step 4: Simplify right side
    31,987.27x = 786,644,216.55
  5. Step 5: Solve for x
    x = 786,644,216.55/31,987.27
  6. Step 6: Final answer
    x = 24,592.42

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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.