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Finding the Fourth Proportional to 2,690.14, 4,037.04 and 958.78

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Solution

The fourth proportional to 2,690.14, 4,037.04 and 958.78 is: 1,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.14 : 4,037.04 = 958.78 : x
  2. Step 2: Convert to fraction form
    2,690.14/4,037.04 = 958.78/x
  3. Step 3: Cross multiply
    2,690.14x = 4,037.04 × 958.78
  4. Step 4: Simplify right side
    2,690.14x = 3,870,633.21
  5. Step 5: Solve for x
    x = 3,870,633.21/2,690.14
  6. Step 6: Final answer
    x = 1,438.82

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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.