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Finding the Fourth Proportional to 8,266.86, 12,400.29 and 5,343.57

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Solution

The fourth proportional to 8,266.86, 12,400.29 and 5,343.57 is: 8,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.86 : 12,400.29 = 5,343.57 : x
  2. Step 2: Convert to fraction form
    8,266.86/12,400.29 = 5,343.57/x
  3. Step 3: Cross multiply
    8,266.86x = 12,400.29 × 5,343.57
  4. Step 4: Simplify right side
    8,266.86x = 66,261,817.64
  5. Step 5: Solve for x
    x = 66,261,817.64/8,266.86
  6. Step 6: Final answer
    x = 8,015.36

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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.