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Finding the Fourth Proportional to 21,574, 29,772.84 and 13,188.88

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Solution

The fourth proportional to 21,574, 29,772.84 and 13,188.88 is: 18,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574 : 29,772.84 = 13,188.88 : x
  2. Step 2: Convert to fraction form
    21,574/29,772.84 = 13,188.88/x
  3. Step 3: Cross multiply
    21,574x = 29,772.84 × 13,188.88
  4. Step 4: Simplify right side
    21,574x = 392,670,414.02
  5. Step 5: Solve for x
    x = 392,670,414.02/21,574
  6. Step 6: Final answer
    x = 18,201.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.