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Finding the Fourth Proportional to 5,561.76, 8,344 and 1,666.16

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Solution

The fourth proportional to 5,561.76, 8,344 and 1,666.16 is: 2,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.76 : 8,344 = 1,666.16 : x
  2. Step 2: Convert to fraction form
    5,561.76/8,344 = 1,666.16/x
  3. Step 3: Cross multiply
    5,561.76x = 8,344 × 1,666.16
  4. Step 4: Simplify right side
    5,561.76x = 13,902,439.04
  5. Step 5: Solve for x
    x = 13,902,439.04/5,561.76
  6. Step 6: Final answer
    x = 2,499.65

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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.