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Finding the Fourth Proportional to 2,104.74, 3,156.24 and 717.84

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Solution

The fourth proportional to 2,104.74, 3,156.24 and 717.84 is: 1,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.74 : 3,156.24 = 717.84 : x
  2. Step 2: Convert to fraction form
    2,104.74/3,156.24 = 717.84/x
  3. Step 3: Cross multiply
    2,104.74x = 3,156.24 × 717.84
  4. Step 4: Simplify right side
    2,104.74x = 2,265,675.32
  5. Step 5: Solve for x
    x = 2,265,675.32/2,104.74
  6. Step 6: Final answer
    x = 1,076.46

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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.