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Finding the Fourth Proportional to 1,642.70, 2,266.44 and 1,052.21

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Solution

The fourth proportional to 1,642.70, 2,266.44 and 1,052.21 is: 1,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.70 : 2,266.44 = 1,052.21 : x
  2. Step 2: Convert to fraction form
    1,642.70/2,266.44 = 1,052.21/x
  3. Step 3: Cross multiply
    1,642.70x = 2,266.44 × 1,052.21
  4. Step 4: Simplify right side
    1,642.70x = 2,384,770.83
  5. Step 5: Solve for x
    x = 2,384,770.83/1,642.70
  6. Step 6: Final answer
    x = 1,451.74

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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.