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Finding the Fourth Proportional to 2,143.56, 2,957.94 and 1,259.40

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Solution

The fourth proportional to 2,143.56, 2,957.94 and 1,259.40 is: 1,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.56 : 2,957.94 = 1,259.40 : x
  2. Step 2: Convert to fraction form
    2,143.56/2,957.94 = 1,259.40/x
  3. Step 3: Cross multiply
    2,143.56x = 2,957.94 × 1,259.40
  4. Step 4: Simplify right side
    2,143.56x = 3,725,229.64
  5. Step 5: Solve for x
    x = 3,725,229.64/2,143.56
  6. Step 6: Final answer
    x = 1,737.87

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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.