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Finding the Fourth Proportional to 1,642.12, 2,265.94 and 943.72

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Solution

The fourth proportional to 1,642.12, 2,265.94 and 943.72 is: 1,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.12 : 2,265.94 = 943.72 : x
  2. Step 2: Convert to fraction form
    1,642.12/2,265.94 = 943.72/x
  3. Step 3: Cross multiply
    1,642.12x = 2,265.94 × 943.72
  4. Step 4: Simplify right side
    1,642.12x = 2,138,412.90
  5. Step 5: Solve for x
    x = 2,138,412.90/1,642.12
  6. Step 6: Final answer
    x = 1,302.23

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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.