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Finding the Fourth Proportional to 2,542.33, 3,811.33 and 981.46

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Solution

The fourth proportional to 2,542.33, 3,811.33 and 981.46 is: 1,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.33 : 3,811.33 = 981.46 : x
  2. Step 2: Convert to fraction form
    2,542.33/3,811.33 = 981.46/x
  3. Step 3: Cross multiply
    2,542.33x = 3,811.33 × 981.46
  4. Step 4: Simplify right side
    2,542.33x = 3,740,643.98
  5. Step 5: Solve for x
    x = 3,740,643.98/2,542.33
  6. Step 6: Final answer
    x = 1,471.35

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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.