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Finding the Fourth Proportional to 7,257.18, 10,871.19 and 3,787.14

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Solution

The fourth proportional to 7,257.18, 10,871.19 and 3,787.14 is: 5,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.18 : 10,871.19 = 3,787.14 : x
  2. Step 2: Convert to fraction form
    7,257.18/10,871.19 = 3,787.14/x
  3. Step 3: Cross multiply
    7,257.18x = 10,871.19 × 3,787.14
  4. Step 4: Simplify right side
    7,257.18x = 41,170,718.50
  5. Step 5: Solve for x
    x = 41,170,718.50/7,257.18
  6. Step 6: Final answer
    x = 5,673.10

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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.