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Finding the Fourth Proportional to 5,894.25, 8,138.93 and 5,156.75

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Solution

The fourth proportional to 5,894.25, 8,138.93 and 5,156.75 is: 7,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.25 : 8,138.93 = 5,156.75 : x
  2. Step 2: Convert to fraction form
    5,894.25/8,138.93 = 5,156.75/x
  3. Step 3: Cross multiply
    5,894.25x = 8,138.93 × 5,156.75
  4. Step 4: Simplify right side
    5,894.25x = 41,970,360.80
  5. Step 5: Solve for x
    x = 41,970,360.80/5,894.25
  6. Step 6: Final answer
    x = 7,120.56

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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.