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Finding the Fourth Proportional to 2,326.92, 3,490.29 and 787.92

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Solution

The fourth proportional to 2,326.92, 3,490.29 and 787.92 is: 1,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.92 : 3,490.29 = 787.92 : x
  2. Step 2: Convert to fraction form
    2,326.92/3,490.29 = 787.92/x
  3. Step 3: Cross multiply
    2,326.92x = 3,490.29 × 787.92
  4. Step 4: Simplify right side
    2,326.92x = 2,750,069.30
  5. Step 5: Solve for x
    x = 2,750,069.30/2,326.92
  6. Step 6: Final answer
    x = 1,181.85

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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.