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Finding the Fourth Proportional to 7,138.91, 9,859.91 and 5,456.57

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Solution

The fourth proportional to 7,138.91, 9,859.91 and 5,456.57 is: 7,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.91 : 9,859.91 = 5,456.57 : x
  2. Step 2: Convert to fraction form
    7,138.91/9,859.91 = 5,456.57/x
  3. Step 3: Cross multiply
    7,138.91x = 9,859.91 × 5,456.57
  4. Step 4: Simplify right side
    7,138.91x = 53,801,212.53
  5. Step 5: Solve for x
    x = 53,801,212.53/7,138.91
  6. Step 6: Final answer
    x = 7,536.33

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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.