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Finding the Fourth Proportional to 8,765.40, 12,097.43 and 4,990.11

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Solution

The fourth proportional to 8,765.40, 12,097.43 and 4,990.11 is: 6,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.40 : 12,097.43 = 4,990.11 : x
  2. Step 2: Convert to fraction form
    8,765.40/12,097.43 = 4,990.11/x
  3. Step 3: Cross multiply
    8,765.40x = 12,097.43 × 4,990.11
  4. Step 4: Simplify right side
    8,765.40x = 60,367,481.47
  5. Step 5: Solve for x
    x = 60,367,481.47/8,765.40
  6. Step 6: Final answer
    x = 6,887.02

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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.