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Finding the Fourth Proportional to 6,460.44, 9,691.88 and 3,172.65

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Solution

The fourth proportional to 6,460.44, 9,691.88 and 3,172.65 is: 4,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.44 : 9,691.88 = 3,172.65 : x
  2. Step 2: Convert to fraction form
    6,460.44/9,691.88 = 3,172.65/x
  3. Step 3: Cross multiply
    6,460.44x = 9,691.88 × 3,172.65
  4. Step 4: Simplify right side
    6,460.44x = 30,748,927.22
  5. Step 5: Solve for x
    x = 30,748,927.22/6,460.44
  6. Step 6: Final answer
    x = 4,759.57

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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.