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Finding the Fourth Proportional to 2,725.72, 4,085.08 and 1,983.45

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Solution

The fourth proportional to 2,725.72, 4,085.08 and 1,983.45 is: 2,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.72 : 4,085.08 = 1,983.45 : x
  2. Step 2: Convert to fraction form
    2,725.72/4,085.08 = 1,983.45/x
  3. Step 3: Cross multiply
    2,725.72x = 4,085.08 × 1,983.45
  4. Step 4: Simplify right side
    2,725.72x = 8,102,562.29
  5. Step 5: Solve for x
    x = 8,102,562.29/2,725.72
  6. Step 6: Final answer
    x = 2,972.63

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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.