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Finding the Fourth Proportional to 5,642.32, 8,458.44 and 3,786.16

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Solution

The fourth proportional to 5,642.32, 8,458.44 and 3,786.16 is: 5,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.32 : 8,458.44 = 3,786.16 : x
  2. Step 2: Convert to fraction form
    5,642.32/8,458.44 = 3,786.16/x
  3. Step 3: Cross multiply
    5,642.32x = 8,458.44 × 3,786.16
  4. Step 4: Simplify right side
    5,642.32x = 32,025,007.19
  5. Step 5: Solve for x
    x = 32,025,007.19/5,642.32
  6. Step 6: Final answer
    x = 5,675.86

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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.