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Finding the Fourth Proportional to 2,886.95, 3,984.18 and 1,627.90

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Solution

The fourth proportional to 2,886.95, 3,984.18 and 1,627.90 is: 2,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.95 : 3,984.18 = 1,627.90 : x
  2. Step 2: Convert to fraction form
    2,886.95/3,984.18 = 1,627.90/x
  3. Step 3: Cross multiply
    2,886.95x = 3,984.18 × 1,627.90
  4. Step 4: Simplify right side
    2,886.95x = 6,485,846.62
  5. Step 5: Solve for x
    x = 6,485,846.62/2,886.95
  6. Step 6: Final answer
    x = 2,246.61

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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.