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Finding the Fourth Proportional to 5,640.64, 7,784.81 and 3,402.61

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Solution

The fourth proportional to 5,640.64, 7,784.81 and 3,402.61 is: 4,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.64 : 7,784.81 = 3,402.61 : x
  2. Step 2: Convert to fraction form
    5,640.64/7,784.81 = 3,402.61/x
  3. Step 3: Cross multiply
    5,640.64x = 7,784.81 × 3,402.61
  4. Step 4: Simplify right side
    5,640.64x = 26,488,648.64
  5. Step 5: Solve for x
    x = 26,488,648.64/5,640.64
  6. Step 6: Final answer
    x = 4,696.04

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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.