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Finding the Fourth Proportional to 2,261.52, 3,392.34 and 800.76

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Solution

The fourth proportional to 2,261.52, 3,392.34 and 800.76 is: 1,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.52 : 3,392.34 = 800.76 : x
  2. Step 2: Convert to fraction form
    2,261.52/3,392.34 = 800.76/x
  3. Step 3: Cross multiply
    2,261.52x = 3,392.34 × 800.76
  4. Step 4: Simplify right side
    2,261.52x = 2,716,450.18
  5. Step 5: Solve for x
    x = 2,716,450.18/2,261.52
  6. Step 6: Final answer
    x = 1,201.16

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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.