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Finding the Fourth Proportional to 9,139.56, 13,709.22 and 2,214.12

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Solution

The fourth proportional to 9,139.56, 13,709.22 and 2,214.12 is: 3,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.56 : 13,709.22 = 2,214.12 : x
  2. Step 2: Convert to fraction form
    9,139.56/13,709.22 = 2,214.12/x
  3. Step 3: Cross multiply
    9,139.56x = 13,709.22 × 2,214.12
  4. Step 4: Simplify right side
    9,139.56x = 30,353,858.19
  5. Step 5: Solve for x
    x = 30,353,858.19/9,139.56
  6. Step 6: Final answer
    x = 3,321.15

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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.