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Finding the Fourth Proportional to 2,702.50, 3,729.48 and 1,507.60

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Solution

The fourth proportional to 2,702.50, 3,729.48 and 1,507.60 is: 2,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.50 : 3,729.48 = 1,507.60 : x
  2. Step 2: Convert to fraction form
    2,702.50/3,729.48 = 1,507.60/x
  3. Step 3: Cross multiply
    2,702.50x = 3,729.48 × 1,507.60
  4. Step 4: Simplify right side
    2,702.50x = 5,622,552.37
  5. Step 5: Solve for x
    x = 5,622,552.37/2,702.50
  6. Step 6: Final answer
    x = 2,080.50

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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.