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Finding the Fourth Proportional to 3,658.97, 5,487.28 and 1,193.20

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Solution

The fourth proportional to 3,658.97, 5,487.28 and 1,193.20 is: 1,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.97 : 5,487.28 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    3,658.97/5,487.28 = 1,193.20/x
  3. Step 3: Cross multiply
    3,658.97x = 5,487.28 × 1,193.20
  4. Step 4: Simplify right side
    3,658.97x = 6,547,405.79
  5. Step 5: Solve for x
    x = 6,547,405.79/3,658.97
  6. Step 6: Final answer
    x = 1,789.41

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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.