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Finding the Fourth Proportional to 2,772.76, 3,827.24 and 1,654.48

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Solution

The fourth proportional to 2,772.76, 3,827.24 and 1,654.48 is: 2,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.76 : 3,827.24 = 1,654.48 : x
  2. Step 2: Convert to fraction form
    2,772.76/3,827.24 = 1,654.48/x
  3. Step 3: Cross multiply
    2,772.76x = 3,827.24 × 1,654.48
  4. Step 4: Simplify right side
    2,772.76x = 6,332,092.04
  5. Step 5: Solve for x
    x = 6,332,092.04/2,772.76
  6. Step 6: Final answer
    x = 2,283.68

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Half scale
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Double scale
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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.