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Finding the Fourth Proportional to 7,144.83, 10,729.13 and 4,819.80

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Solution

The fourth proportional to 7,144.83, 10,729.13 and 4,819.80 is: 7,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.83 : 10,729.13 = 4,819.80 : x
  2. Step 2: Convert to fraction form
    7,144.83/10,729.13 = 4,819.80/x
  3. Step 3: Cross multiply
    7,144.83x = 10,729.13 × 4,819.80
  4. Step 4: Simplify right side
    7,144.83x = 51,712,260.77
  5. Step 5: Solve for x
    x = 51,712,260.77/7,144.83
  6. Step 6: Final answer
    x = 7,237.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.