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Finding the Fourth Proportional to 2,592.74, 3,889.75 and 861.38

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Solution

The fourth proportional to 2,592.74, 3,889.75 and 861.38 is: 1,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.74 : 3,889.75 = 861.38 : x
  2. Step 2: Convert to fraction form
    2,592.74/3,889.75 = 861.38/x
  3. Step 3: Cross multiply
    2,592.74x = 3,889.75 × 861.38
  4. Step 4: Simplify right side
    2,592.74x = 3,350,552.86
  5. Step 5: Solve for x
    x = 3,350,552.86/2,592.74
  6. Step 6: Final answer
    x = 1,292.28

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1.5x scale

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.