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Finding the Fourth Proportional to 2,702.51, 3,729.51 and 1,491.23

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Solution

The fourth proportional to 2,702.51, 3,729.51 and 1,491.23 is: 2,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.51 : 3,729.51 = 1,491.23 : x
  2. Step 2: Convert to fraction form
    2,702.51/3,729.51 = 1,491.23/x
  3. Step 3: Cross multiply
    2,702.51x = 3,729.51 × 1,491.23
  4. Step 4: Simplify right side
    2,702.51x = 5,561,538.55
  5. Step 5: Solve for x
    x = 5,561,538.55/2,702.51
  6. Step 6: Final answer
    x = 2,057.92

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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.