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Finding the Fourth Proportional to 18,486, 27,726.96 and 4,635

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Solution

The fourth proportional to 18,486, 27,726.96 and 4,635 is: 6,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 27,726.96 = 4,635 : x
  2. Step 2: Convert to fraction form
    18,486/27,726.96 = 4,635/x
  3. Step 3: Cross multiply
    18,486x = 27,726.96 × 4,635
  4. Step 4: Simplify right side
    18,486x = 128,514,459.60
  5. Step 5: Solve for x
    x = 128,514,459.60/18,486
  6. Step 6: Final answer
    x = 6,951.99

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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.