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Finding the Fourth Proportional to 2,689.96, 3,709.74 and 2,123.14

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Solution

The fourth proportional to 2,689.96, 3,709.74 and 2,123.14 is: 2,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.96 : 3,709.74 = 2,123.14 : x
  2. Step 2: Convert to fraction form
    2,689.96/3,709.74 = 2,123.14/x
  3. Step 3: Cross multiply
    2,689.96x = 3,709.74 × 2,123.14
  4. Step 4: Simplify right side
    2,689.96x = 7,876,297.38
  5. Step 5: Solve for x
    x = 7,876,297.38/2,689.96
  6. Step 6: Final answer
    x = 2,928.04

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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.