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Finding the Fourth Proportional to 6,990.85, 9,647.22 and 4,008.44

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Solution

The fourth proportional to 6,990.85, 9,647.22 and 4,008.44 is: 5,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.85 : 9,647.22 = 4,008.44 : x
  2. Step 2: Convert to fraction form
    6,990.85/9,647.22 = 4,008.44/x
  3. Step 3: Cross multiply
    6,990.85x = 9,647.22 × 4,008.44
  4. Step 4: Simplify right side
    6,990.85x = 38,670,302.54
  5. Step 5: Solve for x
    x = 38,670,302.54/6,990.85
  6. Step 6: Final answer
    x = 5,531.56

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1.5x scale

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.