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Finding the Fourth Proportional to 5,640.66, 7,784.24 and 3,654.68

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Solution

The fourth proportional to 5,640.66, 7,784.24 and 3,654.68 is: 5,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.66 : 7,784.24 = 3,654.68 : x
  2. Step 2: Convert to fraction form
    5,640.66/7,784.24 = 3,654.68/x
  3. Step 3: Cross multiply
    5,640.66x = 7,784.24 × 3,654.68
  4. Step 4: Simplify right side
    5,640.66x = 28,448,849.05
  5. Step 5: Solve for x
    x = 28,448,849.05/5,640.66
  6. Step 6: Final answer
    x = 5,043.53

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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.