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Finding the Fourth Proportional to 6,661.44, 9,981.63 and 4,317.30

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Solution

The fourth proportional to 6,661.44, 9,981.63 and 4,317.30 is: 6,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.44 : 9,981.63 = 4,317.30 : x
  2. Step 2: Convert to fraction form
    6,661.44/9,981.63 = 4,317.30/x
  3. Step 3: Cross multiply
    6,661.44x = 9,981.63 × 4,317.30
  4. Step 4: Simplify right side
    6,661.44x = 43,093,691.20
  5. Step 5: Solve for x
    x = 43,093,691.20/6,661.44
  6. Step 6: Final answer
    x = 6,469.13

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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.