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Finding the Fourth Proportional to 1,642.20, 2,264.22 and 1,020.12

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Solution

The fourth proportional to 1,642.20, 2,264.22 and 1,020.12 is: 1,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.20 : 2,264.22 = 1,020.12 : x
  2. Step 2: Convert to fraction form
    1,642.20/2,264.22 = 1,020.12/x
  3. Step 3: Cross multiply
    1,642.20x = 2,264.22 × 1,020.12
  4. Step 4: Simplify right side
    1,642.20x = 2,309,776.11
  5. Step 5: Solve for x
    x = 2,309,776.11/1,642.20
  6. Step 6: Final answer
    x = 1,406.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.