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Finding the Fourth Proportional to 6,315.92, 9,468.12 and 3,578

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Solution

The fourth proportional to 6,315.92, 9,468.12 and 3,578 is: 5,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.92 : 9,468.12 = 3,578 : x
  2. Step 2: Convert to fraction form
    6,315.92/9,468.12 = 3,578/x
  3. Step 3: Cross multiply
    6,315.92x = 9,468.12 × 3,578
  4. Step 4: Simplify right side
    6,315.92x = 33,876,933.36
  5. Step 5: Solve for x
    x = 33,876,933.36/6,315.92
  6. Step 6: Final answer
    x = 5,363.74

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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.