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Finding the Fourth Proportional to 1,761, 2,641.56 and 787.08

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Solution

The fourth proportional to 1,761, 2,641.56 and 787.08 is: 1,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761 : 2,641.56 = 787.08 : x
  2. Step 2: Convert to fraction form
    1,761/2,641.56 = 787.08/x
  3. Step 3: Cross multiply
    1,761x = 2,641.56 × 787.08
  4. Step 4: Simplify right side
    1,761x = 2,079,119.04
  5. Step 5: Solve for x
    x = 2,079,119.04/1,761
  6. Step 6: Final answer
    x = 1,180.65

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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.