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Finding the Fourth Proportional to 8,480.57, 12,716.57 and 4,971.41

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Solution

The fourth proportional to 8,480.57, 12,716.57 and 4,971.41 is: 7,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.57 : 12,716.57 = 4,971.41 : x
  2. Step 2: Convert to fraction form
    8,480.57/12,716.57 = 4,971.41/x
  3. Step 3: Cross multiply
    8,480.57x = 12,716.57 × 4,971.41
  4. Step 4: Simplify right side
    8,480.57x = 63,219,279.80
  5. Step 5: Solve for x
    x = 63,219,279.80/8,480.57
  6. Step 6: Final answer
    x = 7,454.61

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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.