Home / 2,142.10-2,956.08-1,257.70

Finding the Fourth Proportional to 2,142.10, 2,956.08 and 1,257.70

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Solution

The fourth proportional to 2,142.10, 2,956.08 and 1,257.70 is: 1,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.10 : 2,956.08 = 1,257.70 : x
  2. Step 2: Convert to fraction form
    2,142.10/2,956.08 = 1,257.70/x
  3. Step 3: Cross multiply
    2,142.10x = 2,956.08 × 1,257.70
  4. Step 4: Simplify right side
    2,142.10x = 3,717,861.82
  5. Step 5: Solve for x
    x = 3,717,861.82/2,142.10
  6. Step 6: Final answer
    x = 1,735.62

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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.