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Finding the Fourth Proportional to 2,702.84, 3,729.80 and 1,507.80

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Solution

The fourth proportional to 2,702.84, 3,729.80 and 1,507.80 is: 2,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.84 : 3,729.80 = 1,507.80 : x
  2. Step 2: Convert to fraction form
    2,702.84/3,729.80 = 1,507.80/x
  3. Step 3: Cross multiply
    2,702.84x = 3,729.80 × 1,507.80
  4. Step 4: Simplify right side
    2,702.84x = 5,623,792.44
  5. Step 5: Solve for x
    x = 5,623,792.44/2,702.84
  6. Step 6: Final answer
    x = 2,080.70

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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.