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Finding the Fourth Proportional to 2,689.34, 3,711.19 and 1,494.38

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Solution

The fourth proportional to 2,689.34, 3,711.19 and 1,494.38 is: 2,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.34 : 3,711.19 = 1,494.38 : x
  2. Step 2: Convert to fraction form
    2,689.34/3,711.19 = 1,494.38/x
  3. Step 3: Cross multiply
    2,689.34x = 3,711.19 × 1,494.38
  4. Step 4: Simplify right side
    2,689.34x = 5,545,928.11
  5. Step 5: Solve for x
    x = 5,545,928.11/2,689.34
  6. Step 6: Final answer
    x = 2,062.19

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Half scale
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Double scale
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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.