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Finding the Fourth Proportional to 2,145.92, 2,961.24 and 1,261.88

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Solution

The fourth proportional to 2,145.92, 2,961.24 and 1,261.88 is: 1,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.92 : 2,961.24 = 1,261.88 : x
  2. Step 2: Convert to fraction form
    2,145.92/2,961.24 = 1,261.88/x
  3. Step 3: Cross multiply
    2,145.92x = 2,961.24 × 1,261.88
  4. Step 4: Simplify right side
    2,145.92x = 3,736,729.53
  5. Step 5: Solve for x
    x = 3,736,729.53/2,145.92
  6. Step 6: Final answer
    x = 1,741.32

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1.5x scale

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.