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Finding the Fourth Proportional to 7,578.84, 11,349 and 6,343.14

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Solution

The fourth proportional to 7,578.84, 11,349 and 6,343.14 is: 9,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.84 : 11,349 = 6,343.14 : x
  2. Step 2: Convert to fraction form
    7,578.84/11,349 = 6,343.14/x
  3. Step 3: Cross multiply
    7,578.84x = 11,349 × 6,343.14
  4. Step 4: Simplify right side
    7,578.84x = 71,988,295.86
  5. Step 5: Solve for x
    x = 71,988,295.86/7,578.84
  6. Step 6: Final answer
    x = 9,498.59

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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.