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Finding the Fourth Proportional to 8,471.25, 12,698.19 and 3,543.75

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Solution

The fourth proportional to 8,471.25, 12,698.19 and 3,543.75 is: 5,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.25 : 12,698.19 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    8,471.25/12,698.19 = 3,543.75/x
  3. Step 3: Cross multiply
    8,471.25x = 12,698.19 × 3,543.75
  4. Step 4: Simplify right side
    8,471.25x = 44,999,210.81
  5. Step 5: Solve for x
    x = 44,999,210.81/8,471.25
  6. Step 6: Final answer
    x = 5,311.99

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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.