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Finding the Fourth Proportional to 2,725.25, 4,087.47 and 876.13

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Solution

The fourth proportional to 2,725.25, 4,087.47 and 876.13 is: 1,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.25 : 4,087.47 = 876.13 : x
  2. Step 2: Convert to fraction form
    2,725.25/4,087.47 = 876.13/x
  3. Step 3: Cross multiply
    2,725.25x = 4,087.47 × 876.13
  4. Step 4: Simplify right side
    2,725.25x = 3,581,144.87
  5. Step 5: Solve for x
    x = 3,581,144.87/2,725.25
  6. Step 6: Final answer
    x = 1,314.06

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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.