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Finding the Fourth Proportional to 8,287.90, 12,448.31 and 4,962.58

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Solution

The fourth proportional to 8,287.90, 12,448.31 and 4,962.58 is: 7,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.90 : 12,448.31 = 4,962.58 : x
  2. Step 2: Convert to fraction form
    8,287.90/12,448.31 = 4,962.58/x
  3. Step 3: Cross multiply
    8,287.90x = 12,448.31 × 4,962.58
  4. Step 4: Simplify right side
    8,287.90x = 61,775,734.24
  5. Step 5: Solve for x
    x = 61,775,734.24/8,287.90
  6. Step 6: Final answer
    x = 7,453.73

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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.