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Finding the Fourth Proportional to 8,202.16, 12,310.24 and 3,275.28

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Solution

The fourth proportional to 8,202.16, 12,310.24 and 3,275.28 is: 4,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.16 : 12,310.24 = 3,275.28 : x
  2. Step 2: Convert to fraction form
    8,202.16/12,310.24 = 3,275.28/x
  3. Step 3: Cross multiply
    8,202.16x = 12,310.24 × 3,275.28
  4. Step 4: Simplify right side
    8,202.16x = 40,319,482.87
  5. Step 5: Solve for x
    x = 40,319,482.87/8,202.16
  6. Step 6: Final answer
    x = 4,915.72

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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.