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Finding the Fourth Proportional to 2,691.96, 4,038.10 and 960.12

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Solution

The fourth proportional to 2,691.96, 4,038.10 and 960.12 is: 1,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.96 : 4,038.10 = 960.12 : x
  2. Step 2: Convert to fraction form
    2,691.96/4,038.10 = 960.12/x
  3. Step 3: Cross multiply
    2,691.96x = 4,038.10 × 960.12
  4. Step 4: Simplify right side
    2,691.96x = 3,877,060.57
  5. Step 5: Solve for x
    x = 3,877,060.57/2,691.96
  6. Step 6: Final answer
    x = 1,440.24

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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.