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Finding the Fourth Proportional to 3,669, 5,502.06 and 1,358.92

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Solution

The fourth proportional to 3,669, 5,502.06 and 1,358.92 is: 2,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,502.06 = 1,358.92 : x
  2. Step 2: Convert to fraction form
    3,669/5,502.06 = 1,358.92/x
  3. Step 3: Cross multiply
    3,669x = 5,502.06 × 1,358.92
  4. Step 4: Simplify right side
    3,669x = 7,476,859.38
  5. Step 5: Solve for x
    x = 7,476,859.38/3,669
  6. Step 6: Final answer
    x = 2,037.85

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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.