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Finding the Fourth Proportional to 9,309.96, 13,969.44 and 4,115.16

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Solution

The fourth proportional to 9,309.96, 13,969.44 and 4,115.16 is: 6,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.96 : 13,969.44 = 4,115.16 : x
  2. Step 2: Convert to fraction form
    9,309.96/13,969.44 = 4,115.16/x
  3. Step 3: Cross multiply
    9,309.96x = 13,969.44 × 4,115.16
  4. Step 4: Simplify right side
    9,309.96x = 57,486,480.71
  5. Step 5: Solve for x
    x = 57,486,480.71/9,309.96
  6. Step 6: Final answer
    x = 6,174.73

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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.