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Finding the Fourth Proportional to 8,202.17, 12,309.53 and 6,348.89

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Solution

The fourth proportional to 8,202.17, 12,309.53 and 6,348.89 is: 9,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.17 : 12,309.53 = 6,348.89 : x
  2. Step 2: Convert to fraction form
    8,202.17/12,309.53 = 6,348.89/x
  3. Step 3: Cross multiply
    8,202.17x = 12,309.53 × 6,348.89
  4. Step 4: Simplify right side
    8,202.17x = 78,151,758.63
  5. Step 5: Solve for x
    x = 78,151,758.63/8,202.17
  6. Step 6: Final answer
    x = 9,528.19

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1.5x scale

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.