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Finding the Fourth Proportional to 7,578.59, 11,368.18 and 3,879.82

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Solution

The fourth proportional to 7,578.59, 11,368.18 and 3,879.82 is: 5,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.59 : 11,368.18 = 3,879.82 : x
  2. Step 2: Convert to fraction form
    7,578.59/11,368.18 = 3,879.82/x
  3. Step 3: Cross multiply
    7,578.59x = 11,368.18 × 3,879.82
  4. Step 4: Simplify right side
    7,578.59x = 44,106,492.13
  5. Step 5: Solve for x
    x = 44,106,492.13/7,578.59
  6. Step 6: Final answer
    x = 5,819.88

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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.