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Finding the Fourth Proportional to 8,690.58, 13,033.12 and 3,143.20

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Solution

The fourth proportional to 8,690.58, 13,033.12 and 3,143.20 is: 4,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.58 : 13,033.12 = 3,143.20 : x
  2. Step 2: Convert to fraction form
    8,690.58/13,033.12 = 3,143.20/x
  3. Step 3: Cross multiply
    8,690.58x = 13,033.12 × 3,143.20
  4. Step 4: Simplify right side
    8,690.58x = 40,965,702.78
  5. Step 5: Solve for x
    x = 40,965,702.78/8,690.58
  6. Step 6: Final answer
    x = 4,713.81

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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.