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Finding the Fourth Proportional to 2,532.34, 3,799.40 and 1,300.33

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Solution

The fourth proportional to 2,532.34, 3,799.40 and 1,300.33 is: 1,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.34 : 3,799.40 = 1,300.33 : x
  2. Step 2: Convert to fraction form
    2,532.34/3,799.40 = 1,300.33/x
  3. Step 3: Cross multiply
    2,532.34x = 3,799.40 × 1,300.33
  4. Step 4: Simplify right side
    2,532.34x = 4,940,473.80
  5. Step 5: Solve for x
    x = 4,940,473.80/2,532.34
  6. Step 6: Final answer
    x = 1,950.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.