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Finding the Fourth Proportional to 5,612.28, 8,414.28 and 1,913.52

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Solution

The fourth proportional to 5,612.28, 8,414.28 and 1,913.52 is: 2,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.28 : 8,414.28 = 1,913.52 : x
  2. Step 2: Convert to fraction form
    5,612.28/8,414.28 = 1,913.52/x
  3. Step 3: Cross multiply
    5,612.28x = 8,414.28 × 1,913.52
  4. Step 4: Simplify right side
    5,612.28x = 16,100,893.07
  5. Step 5: Solve for x
    x = 16,100,893.07/5,612.28
  6. Step 6: Final answer
    x = 2,868.87

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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.