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Finding the Fourth Proportional to 5,451.29, 8,177 and 1,555.69

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Solution

The fourth proportional to 5,451.29, 8,177 and 1,555.69 is: 2,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.29 : 8,177 = 1,555.69 : x
  2. Step 2: Convert to fraction form
    5,451.29/8,177 = 1,555.69/x
  3. Step 3: Cross multiply
    5,451.29x = 8,177 × 1,555.69
  4. Step 4: Simplify right side
    5,451.29x = 12,720,877.13
  5. Step 5: Solve for x
    x = 12,720,877.13/5,451.29
  6. Step 6: Final answer
    x = 2,333.56

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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.