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Finding the Fourth Proportional to 2,741.07, 4,111.61 and 689.07

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Solution

The fourth proportional to 2,741.07, 4,111.61 and 689.07 is: 1,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.07 : 4,111.61 = 689.07 : x
  2. Step 2: Convert to fraction form
    2,741.07/4,111.61 = 689.07/x
  3. Step 3: Cross multiply
    2,741.07x = 4,111.61 × 689.07
  4. Step 4: Simplify right side
    2,741.07x = 2,833,187.10
  5. Step 5: Solve for x
    x = 2,833,187.10/2,741.07
  6. Step 6: Final answer
    x = 1,033.61

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Half scale
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Similar ratio
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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.