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Finding the Fourth Proportional to 2,874.66, 3,967.14 and 1,866.57

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Solution

The fourth proportional to 2,874.66, 3,967.14 and 1,866.57 is: 2,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.66 : 3,967.14 = 1,866.57 : x
  2. Step 2: Convert to fraction form
    2,874.66/3,967.14 = 1,866.57/x
  3. Step 3: Cross multiply
    2,874.66x = 3,967.14 × 1,866.57
  4. Step 4: Simplify right side
    2,874.66x = 7,404,944.51
  5. Step 5: Solve for x
    x = 7,404,944.51/2,874.66
  6. Step 6: Final answer
    x = 2,575.94

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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.