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Finding the Fourth Proportional to 8,571.40, 12,857.10 and 8,117.80

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Solution

The fourth proportional to 8,571.40, 12,857.10 and 8,117.80 is: 12,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.40 : 12,857.10 = 8,117.80 : x
  2. Step 2: Convert to fraction form
    8,571.40/12,857.10 = 8,117.80/x
  3. Step 3: Cross multiply
    8,571.40x = 12,857.10 × 8,117.80
  4. Step 4: Simplify right side
    8,571.40x = 104,371,366.38
  5. Step 5: Solve for x
    x = 104,371,366.38/8,571.40
  6. Step 6: Final answer
    x = 12,176.70

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Similar ratio
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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.