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Finding the Fourth Proportional to 5,238.76, 7,223.59 and 3,819.95

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Solution

The fourth proportional to 5,238.76, 7,223.59 and 3,819.95 is: 5,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.76 : 7,223.59 = 3,819.95 : x
  2. Step 2: Convert to fraction form
    5,238.76/7,223.59 = 3,819.95/x
  3. Step 3: Cross multiply
    5,238.76x = 7,223.59 × 3,819.95
  4. Step 4: Simplify right side
    5,238.76x = 27,593,699.79
  5. Step 5: Solve for x
    x = 27,593,699.79/5,238.76
  6. Step 6: Final answer
    x = 5,267.22

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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.