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Finding the Fourth Proportional to 1,961.68, 2,707.13 and 1,077.46

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Solution

The fourth proportional to 1,961.68, 2,707.13 and 1,077.46 is: 1,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.68 : 2,707.13 = 1,077.46 : x
  2. Step 2: Convert to fraction form
    1,961.68/2,707.13 = 1,077.46/x
  3. Step 3: Cross multiply
    1,961.68x = 2,707.13 × 1,077.46
  4. Step 4: Simplify right side
    1,961.68x = 2,916,824.29
  5. Step 5: Solve for x
    x = 2,916,824.29/1,961.68
  6. Step 6: Final answer
    x = 1,486.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.