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Finding the Fourth Proportional to 7,871.73, 11,812.58 and 7,132.85

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Solution

The fourth proportional to 7,871.73, 11,812.58 and 7,132.85 is: 10,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.73 : 11,812.58 = 7,132.85 : x
  2. Step 2: Convert to fraction form
    7,871.73/11,812.58 = 7,132.85/x
  3. Step 3: Cross multiply
    7,871.73x = 11,812.58 × 7,132.85
  4. Step 4: Simplify right side
    7,871.73x = 84,257,361.25
  5. Step 5: Solve for x
    x = 84,257,361.25/7,871.73
  6. Step 6: Final answer
    x = 10,703.79

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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.