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Finding the Fourth Proportional to 6,642.01, 9,166 and 3,809.49

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Solution

The fourth proportional to 6,642.01, 9,166 and 3,809.49 is: 5,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.01 : 9,166 = 3,809.49 : x
  2. Step 2: Convert to fraction form
    6,642.01/9,166 = 3,809.49/x
  3. Step 3: Cross multiply
    6,642.01x = 9,166 × 3,809.49
  4. Step 4: Simplify right side
    6,642.01x = 34,917,785.34
  5. Step 5: Solve for x
    x = 34,917,785.34/6,642.01
  6. Step 6: Final answer
    x = 5,257.12

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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.