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Finding the Fourth Proportional to 8,592.87, 12,867.44 and 7,871.16

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Solution

The fourth proportional to 8,592.87, 12,867.44 and 7,871.16 is: 11,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.87 : 12,867.44 = 7,871.16 : x
  2. Step 2: Convert to fraction form
    8,592.87/12,867.44 = 7,871.16/x
  3. Step 3: Cross multiply
    8,592.87x = 12,867.44 × 7,871.16
  4. Step 4: Simplify right side
    8,592.87x = 101,281,679.03
  5. Step 5: Solve for x
    x = 101,281,679.03/8,592.87
  6. Step 6: Final answer
    x = 11,786.71

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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.