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Finding the Fourth Proportional to 2,141.79, 2,955.13 and 1,257.42

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Solution

The fourth proportional to 2,141.79, 2,955.13 and 1,257.42 is: 1,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.79 : 2,955.13 = 1,257.42 : x
  2. Step 2: Convert to fraction form
    2,141.79/2,955.13 = 1,257.42/x
  3. Step 3: Cross multiply
    2,141.79x = 2,955.13 × 1,257.42
  4. Step 4: Simplify right side
    2,141.79x = 3,715,854.58
  5. Step 5: Solve for x
    x = 3,715,854.58/2,141.79
  6. Step 6: Final answer
    x = 1,734.93

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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.