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Finding the Fourth Proportional to 2,709.12, 4,063.17 and 734.85

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Solution

The fourth proportional to 2,709.12, 4,063.17 and 734.85 is: 1,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.12 : 4,063.17 = 734.85 : x
  2. Step 2: Convert to fraction form
    2,709.12/4,063.17 = 734.85/x
  3. Step 3: Cross multiply
    2,709.12x = 4,063.17 × 734.85
  4. Step 4: Simplify right side
    2,709.12x = 2,985,820.47
  5. Step 5: Solve for x
    x = 2,985,820.47/2,709.12
  6. Step 6: Final answer
    x = 1,102.14

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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.