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Finding the Fourth Proportional to 3,335.44, 5,001.72 and 1,282

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Solution

The fourth proportional to 3,335.44, 5,001.72 and 1,282 is: 1,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.44 : 5,001.72 = 1,282 : x
  2. Step 2: Convert to fraction form
    3,335.44/5,001.72 = 1,282/x
  3. Step 3: Cross multiply
    3,335.44x = 5,001.72 × 1,282
  4. Step 4: Simplify right side
    3,335.44x = 6,412,205.04
  5. Step 5: Solve for x
    x = 6,412,205.04/3,335.44
  6. Step 6: Final answer
    x = 1,922.45

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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.