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Finding the Fourth Proportional to 2,142.59, 2,957.43 and 1,246.59

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Solution

The fourth proportional to 2,142.59, 2,957.43 and 1,246.59 is: 1,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.59 : 2,957.43 = 1,246.59 : x
  2. Step 2: Convert to fraction form
    2,142.59/2,957.43 = 1,246.59/x
  3. Step 3: Cross multiply
    2,142.59x = 2,957.43 × 1,246.59
  4. Step 4: Simplify right side
    2,142.59x = 3,686,702.66
  5. Step 5: Solve for x
    x = 3,686,702.66/2,142.59
  6. Step 6: Final answer
    x = 1,720.68

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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.