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Finding the Fourth Proportional to 5,709.57, 7,877.70 and 3,470.87

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Solution

The fourth proportional to 5,709.57, 7,877.70 and 3,470.87 is: 4,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.57 : 7,877.70 = 3,470.87 : x
  2. Step 2: Convert to fraction form
    5,709.57/7,877.70 = 3,470.87/x
  3. Step 3: Cross multiply
    5,709.57x = 7,877.70 × 3,470.87
  4. Step 4: Simplify right side
    5,709.57x = 27,342,433.21
  5. Step 5: Solve for x
    x = 27,342,433.21/5,709.57
  6. Step 6: Final answer
    x = 4,788.88

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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.