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Finding the Fourth Proportional to 9,278.16, 12,797.04 and 5,918.16

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Solution

The fourth proportional to 9,278.16, 12,797.04 and 5,918.16 is: 8,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.16 : 12,797.04 = 5,918.16 : x
  2. Step 2: Convert to fraction form
    9,278.16/12,797.04 = 5,918.16/x
  3. Step 3: Cross multiply
    9,278.16x = 12,797.04 × 5,918.16
  4. Step 4: Simplify right side
    9,278.16x = 75,734,930.25
  5. Step 5: Solve for x
    x = 75,734,930.25/9,278.16
  6. Step 6: Final answer
    x = 8,162.71

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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.