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Finding the Fourth Proportional to 3,767, 5,646.64 and 1,577

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Solution

The fourth proportional to 3,767, 5,646.64 and 1,577 is: 2,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767 : 5,646.64 = 1,577 : x
  2. Step 2: Convert to fraction form
    3,767/5,646.64 = 1,577/x
  3. Step 3: Cross multiply
    3,767x = 5,646.64 × 1,577
  4. Step 4: Simplify right side
    3,767x = 8,904,751.28
  5. Step 5: Solve for x
    x = 8,904,751.28/3,767
  6. Step 6: Final answer
    x = 2,363.88

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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.