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Finding the Fourth Proportional to 3,889.48, 5,367 and 2,317.24

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Solution

The fourth proportional to 3,889.48, 5,367 and 2,317.24 is: 3,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.48 : 5,367 = 2,317.24 : x
  2. Step 2: Convert to fraction form
    3,889.48/5,367 = 2,317.24/x
  3. Step 3: Cross multiply
    3,889.48x = 5,367 × 2,317.24
  4. Step 4: Simplify right side
    3,889.48x = 12,436,627.08
  5. Step 5: Solve for x
    x = 12,436,627.08/3,889.48
  6. Step 6: Final answer
    x = 3,197.50

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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.