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Finding the Fourth Proportional to 8,568.47, 11,824.64 and 5,211.42

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Solution

The fourth proportional to 8,568.47, 11,824.64 and 5,211.42 is: 7,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.47 : 11,824.64 = 5,211.42 : x
  2. Step 2: Convert to fraction form
    8,568.47/11,824.64 = 5,211.42/x
  3. Step 3: Cross multiply
    8,568.47x = 11,824.64 × 5,211.42
  4. Step 4: Simplify right side
    8,568.47x = 61,623,158.87
  5. Step 5: Solve for x
    x = 61,623,158.87/8,568.47
  6. Step 6: Final answer
    x = 7,191.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.