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Finding the Fourth Proportional to 31,510.60, 47,265.90 and 21,619.90

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Solution

The fourth proportional to 31,510.60, 47,265.90 and 21,619.90 is: 32,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.60 : 47,265.90 = 21,619.90 : x
  2. Step 2: Convert to fraction form
    31,510.60/47,265.90 = 21,619.90/x
  3. Step 3: Cross multiply
    31,510.60x = 47,265.90 × 21,619.90
  4. Step 4: Simplify right side
    31,510.60x = 1,021,884,031.41
  5. Step 5: Solve for x
    x = 1,021,884,031.41/31,510.60
  6. Step 6: Final answer
    x = 32,429.85

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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.