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Finding the Fourth Proportional to 7,284.78, 10,916.60 and 3,950.21

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Solution

The fourth proportional to 7,284.78, 10,916.60 and 3,950.21 is: 5,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.78 : 10,916.60 = 3,950.21 : x
  2. Step 2: Convert to fraction form
    7,284.78/10,916.60 = 3,950.21/x
  3. Step 3: Cross multiply
    7,284.78x = 10,916.60 × 3,950.21
  4. Step 4: Simplify right side
    7,284.78x = 43,122,788.15
  5. Step 5: Solve for x
    x = 43,122,788.15/7,284.78
  6. Step 6: Final answer
    x = 5,919.57

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1.5x scale

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.