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Finding the Fourth Proportional to 6,441.96, 9,668.88 and 4,990.44

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Solution

The fourth proportional to 6,441.96, 9,668.88 and 4,990.44 is: 7,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.96 : 9,668.88 = 4,990.44 : x
  2. Step 2: Convert to fraction form
    6,441.96/9,668.88 = 4,990.44/x
  3. Step 3: Cross multiply
    6,441.96x = 9,668.88 × 4,990.44
  4. Step 4: Simplify right side
    6,441.96x = 48,251,965.51
  5. Step 5: Solve for x
    x = 48,251,965.51/6,441.96
  6. Step 6: Final answer
    x = 7,490.26

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1.5x scale

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.