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Finding the Fourth Proportional to 1,787.38, 2,681.88 and 921.76

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Solution

The fourth proportional to 1,787.38, 2,681.88 and 921.76 is: 1,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.38 : 2,681.88 = 921.76 : x
  2. Step 2: Convert to fraction form
    1,787.38/2,681.88 = 921.76/x
  3. Step 3: Cross multiply
    1,787.38x = 2,681.88 × 921.76
  4. Step 4: Simplify right side
    1,787.38x = 2,472,049.71
  5. Step 5: Solve for x
    x = 2,472,049.71/1,787.38
  6. Step 6: Final answer
    x = 1,383.06

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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.