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Finding the Fourth Proportional to 2,494, 3,440.76 and 1,431.38

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Solution

The fourth proportional to 2,494, 3,440.76 and 1,431.38 is: 1,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494 : 3,440.76 = 1,431.38 : x
  2. Step 2: Convert to fraction form
    2,494/3,440.76 = 1,431.38/x
  3. Step 3: Cross multiply
    2,494x = 3,440.76 × 1,431.38
  4. Step 4: Simplify right side
    2,494x = 4,925,027.89
  5. Step 5: Solve for x
    x = 4,925,027.89/2,494
  6. Step 6: Final answer
    x = 1,974.75

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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.