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Finding the Fourth Proportional to 6,479.24, 9,719.76 and 2,095.28

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Solution

The fourth proportional to 6,479.24, 9,719.76 and 2,095.28 is: 3,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.24 : 9,719.76 = 2,095.28 : x
  2. Step 2: Convert to fraction form
    6,479.24/9,719.76 = 2,095.28/x
  3. Step 3: Cross multiply
    6,479.24x = 9,719.76 × 2,095.28
  4. Step 4: Simplify right side
    6,479.24x = 20,365,618.73
  5. Step 5: Solve for x
    x = 20,365,618.73/6,479.24
  6. Step 6: Final answer
    x = 3,143.21

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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.