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Finding the Fourth Proportional to 2,702.79, 3,729.57 and 1,995.00

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Solution

The fourth proportional to 2,702.79, 3,729.57 and 1,995.00 is: 2,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.79 : 3,729.57 = 1,995.00 : x
  2. Step 2: Convert to fraction form
    2,702.79/3,729.57 = 1,995.00/x
  3. Step 3: Cross multiply
    2,702.79x = 3,729.57 × 1,995.00
  4. Step 4: Simplify right side
    2,702.79x = 7,440,498.65
  5. Step 5: Solve for x
    x = 7,440,498.65/2,702.79
  6. Step 6: Final answer
    x = 2,752.90

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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.