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Finding the Fourth Proportional to 2,922.78, 4,384.87 and 842.74

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Solution

The fourth proportional to 2,922.78, 4,384.87 and 842.74 is: 1,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.78 : 4,384.87 = 842.74 : x
  2. Step 2: Convert to fraction form
    2,922.78/4,384.87 = 842.74/x
  3. Step 3: Cross multiply
    2,922.78x = 4,384.87 × 842.74
  4. Step 4: Simplify right side
    2,922.78x = 3,695,305.34
  5. Step 5: Solve for x
    x = 3,695,305.34/2,922.78
  6. Step 6: Final answer
    x = 1,264.31

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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.