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Finding the Fourth Proportional to 8,166, 12,249.60 and 5,988.48

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Solution

The fourth proportional to 8,166, 12,249.60 and 5,988.48 is: 8,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 12,249.60 = 5,988.48 : x
  2. Step 2: Convert to fraction form
    8,166/12,249.60 = 5,988.48/x
  3. Step 3: Cross multiply
    8,166x = 12,249.60 × 5,988.48
  4. Step 4: Simplify right side
    8,166x = 73,356,484.61
  5. Step 5: Solve for x
    x = 73,356,484.61/8,166
  6. Step 6: Final answer
    x = 8,983.16

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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.