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Finding the Fourth Proportional to 6,115.64, 9,169.74 and 3,338.45

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Solution

The fourth proportional to 6,115.64, 9,169.74 and 3,338.45 is: 5,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.64 : 9,169.74 = 3,338.45 : x
  2. Step 2: Convert to fraction form
    6,115.64/9,169.74 = 3,338.45/x
  3. Step 3: Cross multiply
    6,115.64x = 9,169.74 × 3,338.45
  4. Step 4: Simplify right side
    6,115.64x = 30,612,672.65
  5. Step 5: Solve for x
    x = 30,612,672.65/6,115.64
  6. Step 6: Final answer
    x = 5,005.64

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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.