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Finding the Fourth Proportional to 2,125.28, 3,187.92 and 586.28

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Solution

The fourth proportional to 2,125.28, 3,187.92 and 586.28 is: 879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.28 : 3,187.92 = 586.28 : x
  2. Step 2: Convert to fraction form
    2,125.28/3,187.92 = 586.28/x
  3. Step 3: Cross multiply
    2,125.28x = 3,187.92 × 586.28
  4. Step 4: Simplify right side
    2,125.28x = 1,869,013.74
  5. Step 5: Solve for x
    x = 1,869,013.74/2,125.28
  6. Step 6: Final answer
    x = 879.42

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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.