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Finding the Fourth Proportional to 2,342.08, 3,512.64 and 881.20

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Solution

The fourth proportional to 2,342.08, 3,512.64 and 881.20 is: 1,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.08 : 3,512.64 = 881.20 : x
  2. Step 2: Convert to fraction form
    2,342.08/3,512.64 = 881.20/x
  3. Step 3: Cross multiply
    2,342.08x = 3,512.64 × 881.20
  4. Step 4: Simplify right side
    2,342.08x = 3,095,338.37
  5. Step 5: Solve for x
    x = 3,095,338.37/2,342.08
  6. Step 6: Final answer
    x = 1,321.62

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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.