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Finding the Fourth Proportional to 9,165, 13,747.56 and 2,239.56

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Solution

The fourth proportional to 9,165, 13,747.56 and 2,239.56 is: 3,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165 : 13,747.56 = 2,239.56 : x
  2. Step 2: Convert to fraction form
    9,165/13,747.56 = 2,239.56/x
  3. Step 3: Cross multiply
    9,165x = 13,747.56 × 2,239.56
  4. Step 4: Simplify right side
    9,165x = 30,788,485.47
  5. Step 5: Solve for x
    x = 30,788,485.47/9,165
  6. Step 6: Final answer
    x = 3,359.35

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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.