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Finding the Fourth Proportional to 7,964.78, 10,991.84 and 4,427.99

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Solution

The fourth proportional to 7,964.78, 10,991.84 and 4,427.99 is: 6,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.78 : 10,991.84 = 4,427.99 : x
  2. Step 2: Convert to fraction form
    7,964.78/10,991.84 = 4,427.99/x
  3. Step 3: Cross multiply
    7,964.78x = 10,991.84 × 4,427.99
  4. Step 4: Simplify right side
    7,964.78x = 48,671,771.32
  5. Step 5: Solve for x
    x = 48,671,771.32/7,964.78
  6. Step 6: Final answer
    x = 6,110.87

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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.