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Finding the Fourth Proportional to 2,725.51, 3,761.63 and 1,663.51

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Solution

The fourth proportional to 2,725.51, 3,761.63 and 1,663.51 is: 2,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.51 : 3,761.63 = 1,663.51 : x
  2. Step 2: Convert to fraction form
    2,725.51/3,761.63 = 1,663.51/x
  3. Step 3: Cross multiply
    2,725.51x = 3,761.63 × 1,663.51
  4. Step 4: Simplify right side
    2,725.51x = 6,257,490.31
  5. Step 5: Solve for x
    x = 6,257,490.31/2,725.51
  6. Step 6: Final answer
    x = 2,295.90

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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.