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Finding the Fourth Proportional to 2,123.97, 3,185.97 and 807.74

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Solution

The fourth proportional to 2,123.97, 3,185.97 and 807.74 is: 1,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.97 : 3,185.97 = 807.74 : x
  2. Step 2: Convert to fraction form
    2,123.97/3,185.97 = 807.74/x
  3. Step 3: Cross multiply
    2,123.97x = 3,185.97 × 807.74
  4. Step 4: Simplify right side
    2,123.97x = 2,573,419.48
  5. Step 5: Solve for x
    x = 2,573,419.48/2,123.97
  6. Step 6: Final answer
    x = 1,211.61

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1.5x scale

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.