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Finding the Fourth Proportional to 2,702.56, 3,730.55 and 2,103.87

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Solution

The fourth proportional to 2,702.56, 3,730.55 and 2,103.87 is: 2,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.56 : 3,730.55 = 2,103.87 : x
  2. Step 2: Convert to fraction form
    2,702.56/3,730.55 = 2,103.87/x
  3. Step 3: Cross multiply
    2,702.56x = 3,730.55 × 2,103.87
  4. Step 4: Simplify right side
    2,702.56x = 7,848,586.97
  5. Step 5: Solve for x
    x = 7,848,586.97/2,702.56
  6. Step 6: Final answer
    x = 2,904.13

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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.