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Finding the Fourth Proportional to 7,945, 10,964.10 and 4,408.78

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Solution

The fourth proportional to 7,945, 10,964.10 and 4,408.78 is: 6,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945 : 10,964.10 = 4,408.78 : x
  2. Step 2: Convert to fraction form
    7,945/10,964.10 = 4,408.78/x
  3. Step 3: Cross multiply
    7,945x = 10,964.10 × 4,408.78
  4. Step 4: Simplify right side
    7,945x = 48,338,304.80
  5. Step 5: Solve for x
    x = 48,338,304.80/7,945
  6. Step 6: Final answer
    x = 6,084.12

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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.