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Finding the Fourth Proportional to 8,570.52, 12,863.70 and 5,290.02

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Solution

The fourth proportional to 8,570.52, 12,863.70 and 5,290.02 is: 7,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.52 : 12,863.70 = 5,290.02 : x
  2. Step 2: Convert to fraction form
    8,570.52/12,863.70 = 5,290.02/x
  3. Step 3: Cross multiply
    8,570.52x = 12,863.70 × 5,290.02
  4. Step 4: Simplify right side
    8,570.52x = 68,049,230.27
  5. Step 5: Solve for x
    x = 68,049,230.27/8,570.52
  6. Step 6: Final answer
    x = 7,939.92

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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.