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Finding the Fourth Proportional to 2,702.69, 3,730.13 and 1,956.38

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Solution

The fourth proportional to 2,702.69, 3,730.13 and 1,956.38 is: 2,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.69 : 3,730.13 = 1,956.38 : x
  2. Step 2: Convert to fraction form
    2,702.69/3,730.13 = 1,956.38/x
  3. Step 3: Cross multiply
    2,702.69x = 3,730.13 × 1,956.38
  4. Step 4: Simplify right side
    2,702.69x = 7,297,541.95
  5. Step 5: Solve for x
    x = 7,297,541.95/2,702.69
  6. Step 6: Final answer
    x = 2,700.10

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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.