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Finding the Fourth Proportional to 1,901.12, 2,851.92 and 668.88

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Solution

The fourth proportional to 1,901.12, 2,851.92 and 668.88 is: 1,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.12 : 2,851.92 = 668.88 : x
  2. Step 2: Convert to fraction form
    1,901.12/2,851.92 = 668.88/x
  3. Step 3: Cross multiply
    1,901.12x = 2,851.92 × 668.88
  4. Step 4: Simplify right side
    1,901.12x = 1,907,592.25
  5. Step 5: Solve for x
    x = 1,907,592.25/1,901.12
  6. Step 6: Final answer
    x = 1,003.40

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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.