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Finding the Fourth Proportional to 1,725.71, 2,380.97 and 1,007.76

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Solution

The fourth proportional to 1,725.71, 2,380.97 and 1,007.76 is: 1,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.71 : 2,380.97 = 1,007.76 : x
  2. Step 2: Convert to fraction form
    1,725.71/2,380.97 = 1,007.76/x
  3. Step 3: Cross multiply
    1,725.71x = 2,380.97 × 1,007.76
  4. Step 4: Simplify right side
    1,725.71x = 2,399,446.33
  5. Step 5: Solve for x
    x = 2,399,446.33/1,725.71
  6. Step 6: Final answer
    x = 1,390.41

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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.