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Finding the Fourth Proportional to 8,257.42, 11,388.87 and 5,739.48

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Solution

The fourth proportional to 8,257.42, 11,388.87 and 5,739.48 is: 7,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.42 : 11,388.87 = 5,739.48 : x
  2. Step 2: Convert to fraction form
    8,257.42/11,388.87 = 5,739.48/x
  3. Step 3: Cross multiply
    8,257.42x = 11,388.87 × 5,739.48
  4. Step 4: Simplify right side
    8,257.42x = 65,366,191.59
  5. Step 5: Solve for x
    x = 65,366,191.59/8,257.42
  6. Step 6: Final answer
    x = 7,916.06

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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.