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Finding the Fourth Proportional to 2,752.85, 3,799.80 and 1,857.89

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Solution

The fourth proportional to 2,752.85, 3,799.80 and 1,857.89 is: 2,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.85 : 3,799.80 = 1,857.89 : x
  2. Step 2: Convert to fraction form
    2,752.85/3,799.80 = 1,857.89/x
  3. Step 3: Cross multiply
    2,752.85x = 3,799.80 × 1,857.89
  4. Step 4: Simplify right side
    2,752.85x = 7,059,610.42
  5. Step 5: Solve for x
    x = 7,059,610.42/2,752.85
  6. Step 6: Final answer
    x = 2,564.47

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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.