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Finding the Fourth Proportional to 5,709.89, 8,569.16 and 2,425.28

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Solution

The fourth proportional to 5,709.89, 8,569.16 and 2,425.28 is: 3,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.89 : 8,569.16 = 2,425.28 : x
  2. Step 2: Convert to fraction form
    5,709.89/8,569.16 = 2,425.28/x
  3. Step 3: Cross multiply
    5,709.89x = 8,569.16 × 2,425.28
  4. Step 4: Simplify right side
    5,709.89x = 20,782,621.66
  5. Step 5: Solve for x
    x = 20,782,621.66/5,709.89
  6. Step 6: Final answer
    x = 3,639.76

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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.