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Finding the Fourth Proportional to 3,669, 5,503.50 and 1,071.92

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Solution

The fourth proportional to 3,669, 5,503.50 and 1,071.92 is: 1,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,503.50 = 1,071.92 : x
  2. Step 2: Convert to fraction form
    3,669/5,503.50 = 1,071.92/x
  3. Step 3: Cross multiply
    3,669x = 5,503.50 × 1,071.92
  4. Step 4: Simplify right side
    3,669x = 5,899,311.72
  5. Step 5: Solve for x
    x = 5,899,311.72/3,669
  6. Step 6: Final answer
    x = 1,607.88

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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.