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Finding the Fourth Proportional to 3,073.67, 4,609.72 and 881.90

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Solution

The fourth proportional to 3,073.67, 4,609.72 and 881.90 is: 1,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.67 : 4,609.72 = 881.90 : x
  2. Step 2: Convert to fraction form
    3,073.67/4,609.72 = 881.90/x
  3. Step 3: Cross multiply
    3,073.67x = 4,609.72 × 881.90
  4. Step 4: Simplify right side
    3,073.67x = 4,065,312.07
  5. Step 5: Solve for x
    x = 4,065,312.07/3,073.67
  6. Step 6: Final answer
    x = 1,322.62

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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.