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Finding the Fourth Proportional to 6,631.76, 9,933.24 and 6,447.44

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Solution

The fourth proportional to 6,631.76, 9,933.24 and 6,447.44 is: 9,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.76 : 9,933.24 = 6,447.44 : x
  2. Step 2: Convert to fraction form
    6,631.76/9,933.24 = 6,447.44/x
  3. Step 3: Cross multiply
    6,631.76x = 9,933.24 × 6,447.44
  4. Step 4: Simplify right side
    6,631.76x = 64,043,968.91
  5. Step 5: Solve for x
    x = 64,043,968.91/6,631.76
  6. Step 6: Final answer
    x = 9,657.16

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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.