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Finding the Fourth Proportional to 2,886.48, 3,985.11 and 2,222.01

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Solution

The fourth proportional to 2,886.48, 3,985.11 and 2,222.01 is: 3,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.48 : 3,985.11 = 2,222.01 : x
  2. Step 2: Convert to fraction form
    2,886.48/3,985.11 = 2,222.01/x
  3. Step 3: Cross multiply
    2,886.48x = 3,985.11 × 2,222.01
  4. Step 4: Simplify right side
    2,886.48x = 8,854,954.27
  5. Step 5: Solve for x
    x = 8,854,954.27/2,886.48
  6. Step 6: Final answer
    x = 3,067.73

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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.