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Finding the Fourth Proportional to 3,425.96, 5,138.38 and 1,577

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Solution

The fourth proportional to 3,425.96, 5,138.38 and 1,577 is: 2,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.96 : 5,138.38 = 1,577 : x
  2. Step 2: Convert to fraction form
    3,425.96/5,138.38 = 1,577/x
  3. Step 3: Cross multiply
    3,425.96x = 5,138.38 × 1,577
  4. Step 4: Simplify right side
    3,425.96x = 8,103,225.26
  5. Step 5: Solve for x
    x = 8,103,225.26/3,425.96
  6. Step 6: Final answer
    x = 2,365.24

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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.