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Finding the Fourth Proportional to 31,911.90, 47,869.02 and 16,311.30

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Solution

The fourth proportional to 31,911.90, 47,869.02 and 16,311.30 is: 24,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.90 : 47,869.02 = 16,311.30 : x
  2. Step 2: Convert to fraction form
    31,911.90/47,869.02 = 16,311.30/x
  3. Step 3: Cross multiply
    31,911.90x = 47,869.02 × 16,311.30
  4. Step 4: Simplify right side
    31,911.90x = 780,805,945.93
  5. Step 5: Solve for x
    x = 780,805,945.93/31,911.90
  6. Step 6: Final answer
    x = 24,467.55

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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.