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Finding the Fourth Proportional to 2,384.75, 3,290.17 and 1,546.11

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Solution

The fourth proportional to 2,384.75, 3,290.17 and 1,546.11 is: 2,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.75 : 3,290.17 = 1,546.11 : x
  2. Step 2: Convert to fraction form
    2,384.75/3,290.17 = 1,546.11/x
  3. Step 3: Cross multiply
    2,384.75x = 3,290.17 × 1,546.11
  4. Step 4: Simplify right side
    2,384.75x = 5,086,964.74
  5. Step 5: Solve for x
    x = 5,086,964.74/2,384.75
  6. Step 6: Final answer
    x = 2,133.12

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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.