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Finding the Fourth Proportional to 2,125.52, 3,187.90 and 565.54

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Solution

The fourth proportional to 2,125.52, 3,187.90 and 565.54 is: 848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.52 : 3,187.90 = 565.54 : x
  2. Step 2: Convert to fraction form
    2,125.52/3,187.90 = 565.54/x
  3. Step 3: Cross multiply
    2,125.52x = 3,187.90 × 565.54
  4. Step 4: Simplify right side
    2,125.52x = 1,802,884.97
  5. Step 5: Solve for x
    x = 1,802,884.97/2,125.52
  6. Step 6: Final answer
    x = 848.21

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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.