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Finding the Fourth Proportional to 18,280, 27,387.52 and 12,415.68

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Solution

The fourth proportional to 18,280, 27,387.52 and 12,415.68 is: 18,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280 : 27,387.52 = 12,415.68 : x
  2. Step 2: Convert to fraction form
    18,280/27,387.52 = 12,415.68/x
  3. Step 3: Cross multiply
    18,280x = 27,387.52 × 12,415.68
  4. Step 4: Simplify right side
    18,280x = 340,034,684.31
  5. Step 5: Solve for x
    x = 340,034,684.31/18,280
  6. Step 6: Final answer
    x = 18,601.46

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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.