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Finding the Fourth Proportional to 18,432.16, 27,653 and 5,285.44

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Solution

The fourth proportional to 18,432.16, 27,653 and 5,285.44 is: 7,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.16 : 27,653 = 5,285.44 : x
  2. Step 2: Convert to fraction form
    18,432.16/27,653 = 5,285.44/x
  3. Step 3: Cross multiply
    18,432.16x = 27,653 × 5,285.44
  4. Step 4: Simplify right side
    18,432.16x = 146,158,272.32
  5. Step 5: Solve for x
    x = 146,158,272.32/18,432.16
  6. Step 6: Final answer
    x = 7,929.52

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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.