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Finding the Fourth Proportional to 6,389.08, 9,578.12 and 2,492.57

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Solution

The fourth proportional to 6,389.08, 9,578.12 and 2,492.57 is: 3,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.08 : 9,578.12 = 2,492.57 : x
  2. Step 2: Convert to fraction form
    6,389.08/9,578.12 = 2,492.57/x
  3. Step 3: Cross multiply
    6,389.08x = 9,578.12 × 2,492.57
  4. Step 4: Simplify right side
    6,389.08x = 23,874,146.05
  5. Step 5: Solve for x
    x = 23,874,146.05/6,389.08
  6. Step 6: Final answer
    x = 3,736.71

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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.