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Finding the Fourth Proportional to 31,398.80, 47,098.20 and 13,859.60

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Solution

The fourth proportional to 31,398.80, 47,098.20 and 13,859.60 is: 20,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.80 : 47,098.20 = 13,859.60 : x
  2. Step 2: Convert to fraction form
    31,398.80/47,098.20 = 13,859.60/x
  3. Step 3: Cross multiply
    31,398.80x = 47,098.20 × 13,859.60
  4. Step 4: Simplify right side
    31,398.80x = 652,762,212.72
  5. Step 5: Solve for x
    x = 652,762,212.72/31,398.80
  6. Step 6: Final answer
    x = 20,789.40

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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.