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Finding the Fourth Proportional to 6,646.87, 9,171.21 and 3,850.75

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Solution

The fourth proportional to 6,646.87, 9,171.21 and 3,850.75 is: 5,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.87 : 9,171.21 = 3,850.75 : x
  2. Step 2: Convert to fraction form
    6,646.87/9,171.21 = 3,850.75/x
  3. Step 3: Cross multiply
    6,646.87x = 9,171.21 × 3,850.75
  4. Step 4: Simplify right side
    6,646.87x = 35,316,036.91
  5. Step 5: Solve for x
    x = 35,316,036.91/6,646.87
  6. Step 6: Final answer
    x = 5,313.18

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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.