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Finding the Fourth Proportional to 2,752.92, 4,123.88 and 1,656.70

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Solution

The fourth proportional to 2,752.92, 4,123.88 and 1,656.70 is: 2,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.92 : 4,123.88 = 1,656.70 : x
  2. Step 2: Convert to fraction form
    2,752.92/4,123.88 = 1,656.70/x
  3. Step 3: Cross multiply
    2,752.92x = 4,123.88 × 1,656.70
  4. Step 4: Simplify right side
    2,752.92x = 6,832,032.00
  5. Step 5: Solve for x
    x = 6,832,032.00/2,752.92
  6. Step 6: Final answer
    x = 2,481.74

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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.