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Finding the Fourth Proportional to 9,236.66, 12,758.41 and 7,578.64

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Solution

The fourth proportional to 9,236.66, 12,758.41 and 7,578.64 is: 10,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.66 : 12,758.41 = 7,578.64 : x
  2. Step 2: Convert to fraction form
    9,236.66/12,758.41 = 7,578.64/x
  3. Step 3: Cross multiply
    9,236.66x = 12,758.41 × 7,578.64
  4. Step 4: Simplify right side
    9,236.66x = 96,691,385.90
  5. Step 5: Solve for x
    x = 96,691,385.90/9,236.66
  6. Step 6: Final answer
    x = 10,468.22

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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.