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Finding the Fourth Proportional to 3,672.59, 5,509.23 and 1,207.42

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Solution

The fourth proportional to 3,672.59, 5,509.23 and 1,207.42 is: 1,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.59 : 5,509.23 = 1,207.42 : x
  2. Step 2: Convert to fraction form
    3,672.59/5,509.23 = 1,207.42/x
  3. Step 3: Cross multiply
    3,672.59x = 5,509.23 × 1,207.42
  4. Step 4: Simplify right side
    3,672.59x = 6,651,920.90
  5. Step 5: Solve for x
    x = 6,651,920.90/3,672.59
  6. Step 6: Final answer
    x = 1,811.24

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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.