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Finding the Fourth Proportional to 1,538.54, 2,310.11 and 881.16

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Solution

The fourth proportional to 1,538.54, 2,310.11 and 881.16 is: 1,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.54 : 2,310.11 = 881.16 : x
  2. Step 2: Convert to fraction form
    1,538.54/2,310.11 = 881.16/x
  3. Step 3: Cross multiply
    1,538.54x = 2,310.11 × 881.16
  4. Step 4: Simplify right side
    1,538.54x = 2,035,576.05
  5. Step 5: Solve for x
    x = 2,035,576.05/1,538.54
  6. Step 6: Final answer
    x = 1,323.06

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Why These Related Problems?

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