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Finding the Fourth Proportional to 2,702.20, 3,729.02 and 1,507.20

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Solution

The fourth proportional to 2,702.20, 3,729.02 and 1,507.20 is: 2,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.20 : 3,729.02 = 1,507.20 : x
  2. Step 2: Convert to fraction form
    2,702.20/3,729.02 = 1,507.20/x
  3. Step 3: Cross multiply
    2,702.20x = 3,729.02 × 1,507.20
  4. Step 4: Simplify right side
    2,702.20x = 5,620,378.94
  5. Step 5: Solve for x
    x = 5,620,378.94/2,702.20
  6. Step 6: Final answer
    x = 2,079.93

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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.