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Finding the Fourth Proportional to 11,983.52, 17,978.82 and 6,144.20

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Solution

The fourth proportional to 11,983.52, 17,978.82 and 6,144.20 is: 9,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.52 : 17,978.82 = 6,144.20 : x
  2. Step 2: Convert to fraction form
    11,983.52/17,978.82 = 6,144.20/x
  3. Step 3: Cross multiply
    11,983.52x = 17,978.82 × 6,144.20
  4. Step 4: Simplify right side
    11,983.52x = 110,465,465.84
  5. Step 5: Solve for x
    x = 110,465,465.84/11,983.52
  6. Step 6: Final answer
    x = 9,218.12

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1.5x scale

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.