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Finding the Fourth Proportional to 2,142.68, 2,956.87 and 1,258.31

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Solution

The fourth proportional to 2,142.68, 2,956.87 and 1,258.31 is: 1,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.68 : 2,956.87 = 1,258.31 : x
  2. Step 2: Convert to fraction form
    2,142.68/2,956.87 = 1,258.31/x
  3. Step 3: Cross multiply
    2,142.68x = 2,956.87 × 1,258.31
  4. Step 4: Simplify right side
    2,142.68x = 3,720,659.09
  5. Step 5: Solve for x
    x = 3,720,659.09/2,142.68
  6. Step 6: Final answer
    x = 1,736.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.