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Finding the Fourth Proportional to 6,479.67, 9,719.64 and 2,097.57

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Solution

The fourth proportional to 6,479.67, 9,719.64 and 2,097.57 is: 3,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.67 : 9,719.64 = 2,097.57 : x
  2. Step 2: Convert to fraction form
    6,479.67/9,719.64 = 2,097.57/x
  3. Step 3: Cross multiply
    6,479.67x = 9,719.64 × 2,097.57
  4. Step 4: Simplify right side
    6,479.67x = 20,387,625.27
  5. Step 5: Solve for x
    x = 20,387,625.27/6,479.67
  6. Step 6: Final answer
    x = 3,146.40

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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.