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Finding the Fourth Proportional to 7,886.52, 11,826.84 and 2,620.12

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Solution

The fourth proportional to 7,886.52, 11,826.84 and 2,620.12 is: 3,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.52 : 11,826.84 = 2,620.12 : x
  2. Step 2: Convert to fraction form
    7,886.52/11,826.84 = 2,620.12/x
  3. Step 3: Cross multiply
    7,886.52x = 11,826.84 × 2,620.12
  4. Step 4: Simplify right side
    7,886.52x = 30,987,740.02
  5. Step 5: Solve for x
    x = 30,987,740.02/7,886.52
  6. Step 6: Final answer
    x = 3,929.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.