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Finding the Fourth Proportional to 31,742, 47,615.20 and 13,274

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Solution

The fourth proportional to 31,742, 47,615.20 and 13,274 is: 19,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742 : 47,615.20 = 13,274 : x
  2. Step 2: Convert to fraction form
    31,742/47,615.20 = 13,274/x
  3. Step 3: Cross multiply
    31,742x = 47,615.20 × 13,274
  4. Step 4: Simplify right side
    31,742x = 632,044,164.80
  5. Step 5: Solve for x
    x = 632,044,164.80/31,742
  6. Step 6: Final answer
    x = 19,911.92

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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.