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Finding the Fourth Proportional to 2,701.74, 3,728.32 and 1,522.79

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Solution

The fourth proportional to 2,701.74, 3,728.32 and 1,522.79 is: 2,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.74 : 3,728.32 = 1,522.79 : x
  2. Step 2: Convert to fraction form
    2,701.74/3,728.32 = 1,522.79/x
  3. Step 3: Cross multiply
    2,701.74x = 3,728.32 × 1,522.79
  4. Step 4: Simplify right side
    2,701.74x = 5,677,425.96
  5. Step 5: Solve for x
    x = 5,677,425.96/2,701.74
  6. Step 6: Final answer
    x = 2,101.40

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Half scale
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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.