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Finding the Fourth Proportional to 1,341.82, 1,851.13 and 922.72

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Solution

The fourth proportional to 1,341.82, 1,851.13 and 922.72 is: 1,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.82 : 1,851.13 = 922.72 : x
  2. Step 2: Convert to fraction form
    1,341.82/1,851.13 = 922.72/x
  3. Step 3: Cross multiply
    1,341.82x = 1,851.13 × 922.72
  4. Step 4: Simplify right side
    1,341.82x = 1,708,066.87
  5. Step 5: Solve for x
    x = 1,708,066.87/1,341.82
  6. Step 6: Final answer
    x = 1,272.95

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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.