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Finding the Fourth Proportional to 9,306.90, 13,965.08 and 6,189.08

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Solution

The fourth proportional to 9,306.90, 13,965.08 and 6,189.08 is: 9,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.90 : 13,965.08 = 6,189.08 : x
  2. Step 2: Convert to fraction form
    9,306.90/13,965.08 = 6,189.08/x
  3. Step 3: Cross multiply
    9,306.90x = 13,965.08 × 6,189.08
  4. Step 4: Simplify right side
    9,306.90x = 86,430,896.56
  5. Step 5: Solve for x
    x = 86,430,896.56/9,306.90
  6. Step 6: Final answer
    x = 9,286.75

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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.