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Finding the Fourth Proportional to 13,753.62, 18,978.13 and 8,085.01

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Solution

The fourth proportional to 13,753.62, 18,978.13 and 8,085.01 is: 11,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.62 : 18,978.13 = 8,085.01 : x
  2. Step 2: Convert to fraction form
    13,753.62/18,978.13 = 8,085.01/x
  3. Step 3: Cross multiply
    13,753.62x = 18,978.13 × 8,085.01
  4. Step 4: Simplify right side
    13,753.62x = 153,438,235.52
  5. Step 5: Solve for x
    x = 153,438,235.52/13,753.62
  6. Step 6: Final answer
    x = 11,156.21

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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.