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Finding the Fourth Proportional to 5,890.32, 8,128.80 and 3,238.02

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Solution

The fourth proportional to 5,890.32, 8,128.80 and 3,238.02 is: 4,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.32 : 8,128.80 = 3,238.02 : x
  2. Step 2: Convert to fraction form
    5,890.32/8,128.80 = 3,238.02/x
  3. Step 3: Cross multiply
    5,890.32x = 8,128.80 × 3,238.02
  4. Step 4: Simplify right side
    5,890.32x = 26,321,216.98
  5. Step 5: Solve for x
    x = 26,321,216.98/5,890.32
  6. Step 6: Final answer
    x = 4,468.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.