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Finding the Fourth Proportional to 2,326.88, 3,489.04 and 787.04

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Solution

The fourth proportional to 2,326.88, 3,489.04 and 787.04 is: 1,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.88 : 3,489.04 = 787.04 : x
  2. Step 2: Convert to fraction form
    2,326.88/3,489.04 = 787.04/x
  3. Step 3: Cross multiply
    2,326.88x = 3,489.04 × 787.04
  4. Step 4: Simplify right side
    2,326.88x = 2,746,014.04
  5. Step 5: Solve for x
    x = 2,746,014.04/2,326.88
  6. Step 6: Final answer
    x = 1,180.13

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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.