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Finding the Fourth Proportional to 9,114.53, 12,578.06 and 4,922.78

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Solution

The fourth proportional to 9,114.53, 12,578.06 and 4,922.78 is: 6,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.53 : 12,578.06 = 4,922.78 : x
  2. Step 2: Convert to fraction form
    9,114.53/12,578.06 = 4,922.78/x
  3. Step 3: Cross multiply
    9,114.53x = 12,578.06 × 4,922.78
  4. Step 4: Simplify right side
    9,114.53x = 61,919,022.21
  5. Step 5: Solve for x
    x = 61,919,022.21/9,114.53
  6. Step 6: Final answer
    x = 6,793.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.