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Finding the Fourth Proportional to 4,272, 5,896.65 and 2,780.11

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Solution

The fourth proportional to 4,272, 5,896.65 and 2,780.11 is: 3,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272 : 5,896.65 = 2,780.11 : x
  2. Step 2: Convert to fraction form
    4,272/5,896.65 = 2,780.11/x
  3. Step 3: Cross multiply
    4,272x = 5,896.65 × 2,780.11
  4. Step 4: Simplify right side
    4,272x = 16,393,335.63
  5. Step 5: Solve for x
    x = 16,393,335.63/4,272
  6. Step 6: Final answer
    x = 3,837.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.