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Finding the Fourth Proportional to 5,213.19, 7,819.79 and 1,752.87

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Solution

The fourth proportional to 5,213.19, 7,819.79 and 1,752.87 is: 2,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.19 : 7,819.79 = 1,752.87 : x
  2. Step 2: Convert to fraction form
    5,213.19/7,819.79 = 1,752.87/x
  3. Step 3: Cross multiply
    5,213.19x = 7,819.79 × 1,752.87
  4. Step 4: Simplify right side
    5,213.19x = 13,707,066.53
  5. Step 5: Solve for x
    x = 13,707,066.53/5,213.19
  6. Step 6: Final answer
    x = 2,629.31

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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.