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Finding the Fourth Proportional to 6,319.28, 9,471 and 4,863.92

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Solution

The fourth proportional to 6,319.28, 9,471 and 4,863.92 is: 7,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.28 : 9,471 = 4,863.92 : x
  2. Step 2: Convert to fraction form
    6,319.28/9,471 = 4,863.92/x
  3. Step 3: Cross multiply
    6,319.28x = 9,471 × 4,863.92
  4. Step 4: Simplify right side
    6,319.28x = 46,066,186.32
  5. Step 5: Solve for x
    x = 46,066,186.32/6,319.28
  6. Step 6: Final answer
    x = 7,289.78

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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.