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Finding the Fourth Proportional to 2,613.35, 3,920.70 and 969.91

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Solution

The fourth proportional to 2,613.35, 3,920.70 and 969.91 is: 1,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.35 : 3,920.70 = 969.91 : x
  2. Step 2: Convert to fraction form
    2,613.35/3,920.70 = 969.91/x
  3. Step 3: Cross multiply
    2,613.35x = 3,920.70 × 969.91
  4. Step 4: Simplify right side
    2,613.35x = 3,802,719.97
  5. Step 5: Solve for x
    x = 3,802,719.97/2,613.35
  6. Step 6: Final answer
    x = 1,455.11

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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.