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Finding the Fourth Proportional to 6,438.66, 9,633.21 and 5,972.10

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Solution

The fourth proportional to 6,438.66, 9,633.21 and 5,972.10 is: 8,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.66 : 9,633.21 = 5,972.10 : x
  2. Step 2: Convert to fraction form
    6,438.66/9,633.21 = 5,972.10/x
  3. Step 3: Cross multiply
    6,438.66x = 9,633.21 × 5,972.10
  4. Step 4: Simplify right side
    6,438.66x = 57,530,493.44
  5. Step 5: Solve for x
    x = 57,530,493.44/6,438.66
  6. Step 6: Final answer
    x = 8,935.17

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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.