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Finding the Fourth Proportional to 2,746, 3,787.80 and 1,961.12

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Solution

The fourth proportional to 2,746, 3,787.80 and 1,961.12 is: 2,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 3,787.80 = 1,961.12 : x
  2. Step 2: Convert to fraction form
    2,746/3,787.80 = 1,961.12/x
  3. Step 3: Cross multiply
    2,746x = 3,787.80 × 1,961.12
  4. Step 4: Simplify right side
    2,746x = 7,428,330.34
  5. Step 5: Solve for x
    x = 7,428,330.34/2,746
  6. Step 6: Final answer
    x = 2,705.15

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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.