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Finding the Fourth Proportional to 3,587, 5,381.10 and 1,121.44

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Solution

The fourth proportional to 3,587, 5,381.10 and 1,121.44 is: 1,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587 : 5,381.10 = 1,121.44 : x
  2. Step 2: Convert to fraction form
    3,587/5,381.10 = 1,121.44/x
  3. Step 3: Cross multiply
    3,587x = 5,381.10 × 1,121.44
  4. Step 4: Simplify right side
    3,587x = 6,034,580.78
  5. Step 5: Solve for x
    x = 6,034,580.78/3,587
  6. Step 6: Final answer
    x = 1,682.35

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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.