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Finding the Fourth Proportional to 2,279.79, 3,420.24 and 892.76

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Solution

The fourth proportional to 2,279.79, 3,420.24 and 892.76 is: 1,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.79 : 3,420.24 = 892.76 : x
  2. Step 2: Convert to fraction form
    2,279.79/3,420.24 = 892.76/x
  3. Step 3: Cross multiply
    2,279.79x = 3,420.24 × 892.76
  4. Step 4: Simplify right side
    2,279.79x = 3,053,436.36
  5. Step 5: Solve for x
    x = 3,053,436.36/2,279.79
  6. Step 6: Final answer
    x = 1,339.35

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1.5x scale

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.