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Finding the Fourth Proportional to 2,272.32, 3,407.92 and 885.84

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Solution

The fourth proportional to 2,272.32, 3,407.92 and 885.84 is: 1,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.32 : 3,407.92 = 885.84 : x
  2. Step 2: Convert to fraction form
    2,272.32/3,407.92 = 885.84/x
  3. Step 3: Cross multiply
    2,272.32x = 3,407.92 × 885.84
  4. Step 4: Simplify right side
    2,272.32x = 3,018,871.85
  5. Step 5: Solve for x
    x = 3,018,871.85/2,272.32
  6. Step 6: Final answer
    x = 1,328.54

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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.