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Finding the Fourth Proportional to 8,633.57, 12,939.75 and 4,471.20

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Solution

The fourth proportional to 8,633.57, 12,939.75 and 4,471.20 is: 6,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.57 : 12,939.75 = 4,471.20 : x
  2. Step 2: Convert to fraction form
    8,633.57/12,939.75 = 4,471.20/x
  3. Step 3: Cross multiply
    8,633.57x = 12,939.75 × 4,471.20
  4. Step 4: Simplify right side
    8,633.57x = 57,856,210.20
  5. Step 5: Solve for x
    x = 57,856,210.20/8,633.57
  6. Step 6: Final answer
    x = 6,701.31

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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.