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Finding the Fourth Proportional to 8,167.80, 12,159.33 and 8,119.20

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Solution

The fourth proportional to 8,167.80, 12,159.33 and 8,119.20 is: 12,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.80 : 12,159.33 = 8,119.20 : x
  2. Step 2: Convert to fraction form
    8,167.80/12,159.33 = 8,119.20/x
  3. Step 3: Cross multiply
    8,167.80x = 12,159.33 × 8,119.20
  4. Step 4: Simplify right side
    8,167.80x = 98,724,032.14
  5. Step 5: Solve for x
    x = 98,724,032.14/8,167.80
  6. Step 6: Final answer
    x = 12,086.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.