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Finding the Fourth Proportional to 7,633.84, 11,431.32 and 6,398.32

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Solution

The fourth proportional to 7,633.84, 11,431.32 and 6,398.32 is: 9,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.84 : 11,431.32 = 6,398.32 : x
  2. Step 2: Convert to fraction form
    7,633.84/11,431.32 = 6,398.32/x
  3. Step 3: Cross multiply
    7,633.84x = 11,431.32 × 6,398.32
  4. Step 4: Simplify right side
    7,633.84x = 73,141,243.38
  5. Step 5: Solve for x
    x = 73,141,243.38/7,633.84
  6. Step 6: Final answer
    x = 9,581.19

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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.