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Finding the Fourth Proportional to 8,568, 12,853.02 and 3,020.19

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Solution

The fourth proportional to 8,568, 12,853.02 and 3,020.19 is: 4,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 12,853.02 = 3,020.19 : x
  2. Step 2: Convert to fraction form
    8,568/12,853.02 = 3,020.19/x
  3. Step 3: Cross multiply
    8,568x = 12,853.02 × 3,020.19
  4. Step 4: Simplify right side
    8,568x = 38,818,562.47
  5. Step 5: Solve for x
    x = 38,818,562.47/8,568
  6. Step 6: Final answer
    x = 4,530.64

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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.