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Finding the Fourth Proportional to 8,480, 12,722.16 and 3,217.16

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Solution

The fourth proportional to 8,480, 12,722.16 and 3,217.16 is: 4,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 12,722.16 = 3,217.16 : x
  2. Step 2: Convert to fraction form
    8,480/12,722.16 = 3,217.16/x
  3. Step 3: Cross multiply
    8,480x = 12,722.16 × 3,217.16
  4. Step 4: Simplify right side
    8,480x = 40,929,224.27
  5. Step 5: Solve for x
    x = 40,929,224.27/8,480
  6. Step 6: Final answer
    x = 4,826.56

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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.