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Finding the Fourth Proportional to 6,384, 9,578.88 and 3,648

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Solution

The fourth proportional to 6,384, 9,578.88 and 3,648 is: 5,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 9,578.88 = 3,648 : x
  2. Step 2: Convert to fraction form
    6,384/9,578.88 = 3,648/x
  3. Step 3: Cross multiply
    6,384x = 9,578.88 × 3,648
  4. Step 4: Simplify right side
    6,384x = 34,943,754.24
  5. Step 5: Solve for x
    x = 34,943,754.24/6,384
  6. Step 6: Final answer
    x = 5,473.65

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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.