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Finding the Fourth Proportional to 8,242.80, 12,364.96 and 2,696.17

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Solution

The fourth proportional to 8,242.80, 12,364.96 and 2,696.17 is: 4,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.80 : 12,364.96 = 2,696.17 : x
  2. Step 2: Convert to fraction form
    8,242.80/12,364.96 = 2,696.17/x
  3. Step 3: Cross multiply
    8,242.80x = 12,364.96 × 2,696.17
  4. Step 4: Simplify right side
    8,242.80x = 33,338,034.20
  5. Step 5: Solve for x
    x = 33,338,034.20/8,242.80
  6. Step 6: Final answer
    x = 4,044.50

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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.