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Finding the Fourth Proportional to 31,991.40, 47,986.65 and 14,461.20

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Solution

The fourth proportional to 31,991.40, 47,986.65 and 14,461.20 is: 21,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.40 : 47,986.65 = 14,461.20 : x
  2. Step 2: Convert to fraction form
    31,991.40/47,986.65 = 14,461.20/x
  3. Step 3: Cross multiply
    31,991.40x = 47,986.65 × 14,461.20
  4. Step 4: Simplify right side
    31,991.40x = 693,944,542.98
  5. Step 5: Solve for x
    x = 693,944,542.98/31,991.40
  6. Step 6: Final answer
    x = 21,691.60

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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.