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Finding the Fourth Proportional to 2,701.80, 3,728.52 and 1,639.26

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Solution

The fourth proportional to 2,701.80, 3,728.52 and 1,639.26 is: 2,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.80 : 3,728.52 = 1,639.26 : x
  2. Step 2: Convert to fraction form
    2,701.80/3,728.52 = 1,639.26/x
  3. Step 3: Cross multiply
    2,701.80x = 3,728.52 × 1,639.26
  4. Step 4: Simplify right side
    2,701.80x = 6,112,013.70
  5. Step 5: Solve for x
    x = 6,112,013.70/2,701.80
  6. Step 6: Final answer
    x = 2,262.20

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1.5x scale

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.