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Finding the Fourth Proportional to 5,581.44, 7,704.90 and 4,089.42

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Solution

The fourth proportional to 5,581.44, 7,704.90 and 4,089.42 is: 5,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.44 : 7,704.90 = 4,089.42 : x
  2. Step 2: Convert to fraction form
    5,581.44/7,704.90 = 4,089.42/x
  3. Step 3: Cross multiply
    5,581.44x = 7,704.90 × 4,089.42
  4. Step 4: Simplify right side
    5,581.44x = 31,508,572.16
  5. Step 5: Solve for x
    x = 31,508,572.16/5,581.44
  6. Step 6: Final answer
    x = 5,645.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.