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Finding the Fourth Proportional to 7,747, 10,691.10 and 4,435

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Solution

The fourth proportional to 7,747, 10,691.10 and 4,435 is: 6,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747 : 10,691.10 = 4,435 : x
  2. Step 2: Convert to fraction form
    7,747/10,691.10 = 4,435/x
  3. Step 3: Cross multiply
    7,747x = 10,691.10 × 4,435
  4. Step 4: Simplify right side
    7,747x = 47,415,028.50
  5. Step 5: Solve for x
    x = 47,415,028.50/7,747
  6. Step 6: Final answer
    x = 6,120.44

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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.