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Finding the Fourth Proportional to 31,802.68, 47,721.30 and 13,347.64

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Solution

The fourth proportional to 31,802.68, 47,721.30 and 13,347.64 is: 20,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.68 : 47,721.30 = 13,347.64 : x
  2. Step 2: Convert to fraction form
    31,802.68/47,721.30 = 13,347.64/x
  3. Step 3: Cross multiply
    31,802.68x = 47,721.30 × 13,347.64
  4. Step 4: Simplify right side
    31,802.68x = 636,966,732.73
  5. Step 5: Solve for x
    x = 636,966,732.73/31,802.68
  6. Step 6: Final answer
    x = 20,028.71

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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.