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Finding the Fourth Proportional to 3,689.48, 5,532.17 and 1,223.64

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Solution

The fourth proportional to 3,689.48, 5,532.17 and 1,223.64 is: 1,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.48 : 5,532.17 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    3,689.48/5,532.17 = 1,223.64/x
  3. Step 3: Cross multiply
    3,689.48x = 5,532.17 × 1,223.64
  4. Step 4: Simplify right side
    3,689.48x = 6,769,378.38
  5. Step 5: Solve for x
    x = 6,769,378.38/3,689.48
  6. Step 6: Final answer
    x = 1,834.78

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1.5x scale

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.