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Finding the Fourth Proportional to 7,964.42, 10,990.97 and 4,982

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Solution

The fourth proportional to 7,964.42, 10,990.97 and 4,982 is: 6,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.42 : 10,990.97 = 4,982 : x
  2. Step 2: Convert to fraction form
    7,964.42/10,990.97 = 4,982/x
  3. Step 3: Cross multiply
    7,964.42x = 10,990.97 × 4,982
  4. Step 4: Simplify right side
    7,964.42x = 54,757,012.54
  5. Step 5: Solve for x
    x = 54,757,012.54/7,964.42
  6. Step 6: Final answer
    x = 6,875.20

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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.