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Finding the Fourth Proportional to 6,966, 10,436.04 and 6,680.88

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Solution

The fourth proportional to 6,966, 10,436.04 and 6,680.88 is: 10,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 10,436.04 = 6,680.88 : x
  2. Step 2: Convert to fraction form
    6,966/10,436.04 = 6,680.88/x
  3. Step 3: Cross multiply
    6,966x = 10,436.04 × 6,680.88
  4. Step 4: Simplify right side
    6,966x = 69,721,930.92
  5. Step 5: Solve for x
    x = 69,721,930.92/6,966
  6. Step 6: Final answer
    x = 10,008.89

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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.