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Finding the Fourth Proportional to 9,215.10, 13,820.61 and 2,641.80

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Solution

The fourth proportional to 9,215.10, 13,820.61 and 2,641.80 is: 3,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.10 : 13,820.61 = 2,641.80 : x
  2. Step 2: Convert to fraction form
    9,215.10/13,820.61 = 2,641.80/x
  3. Step 3: Cross multiply
    9,215.10x = 13,820.61 × 2,641.80
  4. Step 4: Simplify right side
    9,215.10x = 36,511,287.50
  5. Step 5: Solve for x
    x = 36,511,287.50/9,215.10
  6. Step 6: Final answer
    x = 3,962.12

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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.