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Finding the Fourth Proportional to 7,191.87, 10,787.87 and 2,261.40

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Solution

The fourth proportional to 7,191.87, 10,787.87 and 2,261.40 is: 3,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.87 : 10,787.87 = 2,261.40 : x
  2. Step 2: Convert to fraction form
    7,191.87/10,787.87 = 2,261.40/x
  3. Step 3: Cross multiply
    7,191.87x = 10,787.87 × 2,261.40
  4. Step 4: Simplify right side
    7,191.87x = 24,395,689.22
  5. Step 5: Solve for x
    x = 24,395,689.22/7,191.87
  6. Step 6: Final answer
    x = 3,392.12

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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.