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Finding the Fourth Proportional to 2,267.81, 3,401.35 and 881.78

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Solution

The fourth proportional to 2,267.81, 3,401.35 and 881.78 is: 1,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.81 : 3,401.35 = 881.78 : x
  2. Step 2: Convert to fraction form
    2,267.81/3,401.35 = 881.78/x
  3. Step 3: Cross multiply
    2,267.81x = 3,401.35 × 881.78
  4. Step 4: Simplify right side
    2,267.81x = 2,999,223.19
  5. Step 5: Solve for x
    x = 2,999,223.19/2,267.81
  6. Step 6: Final answer
    x = 1,322.52

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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.