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Finding the Fourth Proportional to 6,696.78, 9,241.60 and 3,712.82

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Solution

The fourth proportional to 6,696.78, 9,241.60 and 3,712.82 is: 5,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.78 : 9,241.60 = 3,712.82 : x
  2. Step 2: Convert to fraction form
    6,696.78/9,241.60 = 3,712.82/x
  3. Step 3: Cross multiply
    6,696.78x = 9,241.60 × 3,712.82
  4. Step 4: Simplify right side
    6,696.78x = 34,312,397.31
  5. Step 5: Solve for x
    x = 34,312,397.31/6,696.78
  6. Step 6: Final answer
    x = 5,123.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.