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Finding the Fourth Proportional to 2,734.34, 4,101.50 and 786.53

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Solution

The fourth proportional to 2,734.34, 4,101.50 and 786.53 is: 1,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.34 : 4,101.50 = 786.53 : x
  2. Step 2: Convert to fraction form
    2,734.34/4,101.50 = 786.53/x
  3. Step 3: Cross multiply
    2,734.34x = 4,101.50 × 786.53
  4. Step 4: Simplify right side
    2,734.34x = 3,225,965.02
  5. Step 5: Solve for x
    x = 3,225,965.02/2,734.34
  6. Step 6: Final answer
    x = 1,179.80

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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.