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Finding the Fourth Proportional to 5,213.80, 7,821.42 and 1,751.32

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Solution

The fourth proportional to 5,213.80, 7,821.42 and 1,751.32 is: 2,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.80 : 7,821.42 = 1,751.32 : x
  2. Step 2: Convert to fraction form
    5,213.80/7,821.42 = 1,751.32/x
  3. Step 3: Cross multiply
    5,213.80x = 7,821.42 × 1,751.32
  4. Step 4: Simplify right side
    5,213.80x = 13,697,809.27
  5. Step 5: Solve for x
    x = 13,697,809.27/5,213.80
  6. Step 6: Final answer
    x = 2,627.22

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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.