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Finding the Fourth Proportional to 3,669, 5,503.56 and 2,935.20

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Solution

The fourth proportional to 3,669, 5,503.56 and 2,935.20 is: 4,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,503.56 = 2,935.20 : x
  2. Step 2: Convert to fraction form
    3,669/5,503.56 = 2,935.20/x
  3. Step 3: Cross multiply
    3,669x = 5,503.56 × 2,935.20
  4. Step 4: Simplify right side
    3,669x = 16,154,049.31
  5. Step 5: Solve for x
    x = 16,154,049.31/3,669
  6. Step 6: Final answer
    x = 4,402.85

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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.