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Finding the Fourth Proportional to 3,713.85, 5,565.92 and 1,520.06

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Solution

The fourth proportional to 3,713.85, 5,565.92 and 1,520.06 is: 2,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.85 : 5,565.92 = 1,520.06 : x
  2. Step 2: Convert to fraction form
    3,713.85/5,565.92 = 1,520.06/x
  3. Step 3: Cross multiply
    3,713.85x = 5,565.92 × 1,520.06
  4. Step 4: Simplify right side
    3,713.85x = 8,460,496.93
  5. Step 5: Solve for x
    x = 8,460,496.93/3,713.85
  6. Step 6: Final answer
    x = 2,278.09

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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.