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Finding the Fourth Proportional to 8,906.40, 12,290.40 and 5,757.12

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Solution

The fourth proportional to 8,906.40, 12,290.40 and 5,757.12 is: 7,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.40 : 12,290.40 = 5,757.12 : x
  2. Step 2: Convert to fraction form
    8,906.40/12,290.40 = 5,757.12/x
  3. Step 3: Cross multiply
    8,906.40x = 12,290.40 × 5,757.12
  4. Step 4: Simplify right side
    8,906.40x = 70,757,307.65
  5. Step 5: Solve for x
    x = 70,757,307.65/8,906.40
  6. Step 6: Final answer
    x = 7,944.55

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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.