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Finding the Fourth Proportional to 1,781.50, 2,682.62 and 1,322.54

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Solution

The fourth proportional to 1,781.50, 2,682.62 and 1,322.54 is: 1,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.50 : 2,682.62 = 1,322.54 : x
  2. Step 2: Convert to fraction form
    1,781.50/2,682.62 = 1,322.54/x
  3. Step 3: Cross multiply
    1,781.50x = 2,682.62 × 1,322.54
  4. Step 4: Simplify right side
    1,781.50x = 3,547,872.25
  5. Step 5: Solve for x
    x = 3,547,872.25/1,781.50
  6. Step 6: Final answer
    x = 1,991.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.