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Finding the Fourth Proportional to 18,272.16, 27,410 and 5,124.48

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Solution

The fourth proportional to 18,272.16, 27,410 and 5,124.48 is: 7,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,272.16 : 27,410 = 5,124.48 : x
  2. Step 2: Convert to fraction form
    18,272.16/27,410 = 5,124.48/x
  3. Step 3: Cross multiply
    18,272.16x = 27,410 × 5,124.48
  4. Step 4: Simplify right side
    18,272.16x = 140,461,996.80
  5. Step 5: Solve for x
    x = 140,461,996.80/18,272.16
  6. Step 6: Final answer
    x = 7,687.21

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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.