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Finding the Fourth Proportional to 31,984.92, 47,915.04 and 19,473.92

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Solution

The fourth proportional to 31,984.92, 47,915.04 and 19,473.92 is: 29,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.92 : 47,915.04 = 19,473.92 : x
  2. Step 2: Convert to fraction form
    31,984.92/47,915.04 = 19,473.92/x
  3. Step 3: Cross multiply
    31,984.92x = 47,915.04 × 19,473.92
  4. Step 4: Simplify right side
    31,984.92x = 933,093,655.76
  5. Step 5: Solve for x
    x = 933,093,655.76/31,984.92
  6. Step 6: Final answer
    x = 29,172.92

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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.