Home / 2,142-2,956.08-1,257.60

Finding the Fourth Proportional to 2,142, 2,956.08 and 1,257.60

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Solution

The fourth proportional to 2,142, 2,956.08 and 1,257.60 is: 1,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 2,956.08 = 1,257.60 : x
  2. Step 2: Convert to fraction form
    2,142/2,956.08 = 1,257.60/x
  3. Step 3: Cross multiply
    2,142x = 2,956.08 × 1,257.60
  4. Step 4: Simplify right side
    2,142x = 3,717,566.21
  5. Step 5: Solve for x
    x = 3,717,566.21/2,142
  6. Step 6: Final answer
    x = 1,735.56

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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.