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Finding the Fourth Proportional to 7,769.32, 11,655.90 and 6,398.44

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Solution

The fourth proportional to 7,769.32, 11,655.90 and 6,398.44 is: 9,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.32 : 11,655.90 = 6,398.44 : x
  2. Step 2: Convert to fraction form
    7,769.32/11,655.90 = 6,398.44/x
  3. Step 3: Cross multiply
    7,769.32x = 11,655.90 × 6,398.44
  4. Step 4: Simplify right side
    7,769.32x = 74,579,576.80
  5. Step 5: Solve for x
    x = 74,579,576.80/7,769.32
  6. Step 6: Final answer
    x = 9,599.24

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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.