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Finding the Fourth Proportional to 1,322.41, 1,821 and 948.73

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Solution

The fourth proportional to 1,322.41, 1,821 and 948.73 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.41 : 1,821 = 948.73 : x
  2. Step 2: Convert to fraction form
    1,322.41/1,821 = 948.73/x
  3. Step 3: Cross multiply
    1,322.41x = 1,821 × 948.73
  4. Step 4: Simplify right side
    1,322.41x = 1,727,637.33
  5. Step 5: Solve for x
    x = 1,727,637.33/1,322.41
  6. Step 6: Final answer
    x = 1,306.43

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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.