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Finding the Fourth Proportional to 8,166, 11,269.12 and 4,440

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Solution

The fourth proportional to 8,166, 11,269.12 and 4,440 is: 6,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 11,269.12 = 4,440 : x
  2. Step 2: Convert to fraction form
    8,166/11,269.12 = 4,440/x
  3. Step 3: Cross multiply
    8,166x = 11,269.12 × 4,440
  4. Step 4: Simplify right side
    8,166x = 50,034,892.80
  5. Step 5: Solve for x
    x = 50,034,892.80/8,166
  6. Step 6: Final answer
    x = 6,127.22

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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.