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Finding the Fourth Proportional to 2,702.79, 3,731.40 and 1,955.97

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Solution

The fourth proportional to 2,702.79, 3,731.40 and 1,955.97 is: 2,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.79 : 3,731.40 = 1,955.97 : x
  2. Step 2: Convert to fraction form
    2,702.79/3,731.40 = 1,955.97/x
  3. Step 3: Cross multiply
    2,702.79x = 3,731.40 × 1,955.97
  4. Step 4: Simplify right side
    2,702.79x = 7,298,506.46
  5. Step 5: Solve for x
    x = 7,298,506.46/2,702.79
  6. Step 6: Final answer
    x = 2,700.36

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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.