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Finding the Fourth Proportional to 9,278.42, 13,901.42 and 7,728.40

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Solution

The fourth proportional to 9,278.42, 13,901.42 and 7,728.40 is: 11,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.42 : 13,901.42 = 7,728.40 : x
  2. Step 2: Convert to fraction form
    9,278.42/13,901.42 = 7,728.40/x
  3. Step 3: Cross multiply
    9,278.42x = 13,901.42 × 7,728.40
  4. Step 4: Simplify right side
    9,278.42x = 107,435,734.33
  5. Step 5: Solve for x
    x = 107,435,734.33/9,278.42
  6. Step 6: Final answer
    x = 11,579.10

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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.