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Finding the Fourth Proportional to 1,718.49, 2,371.54 and 932.56

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Solution

The fourth proportional to 1,718.49, 2,371.54 and 932.56 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.49 : 2,371.54 = 932.56 : x
  2. Step 2: Convert to fraction form
    1,718.49/2,371.54 = 932.56/x
  3. Step 3: Cross multiply
    1,718.49x = 2,371.54 × 932.56
  4. Step 4: Simplify right side
    1,718.49x = 2,211,591.48
  5. Step 5: Solve for x
    x = 2,211,591.48/1,718.49
  6. Step 6: Final answer
    x = 1,286.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.