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Finding the Fourth Proportional to 6,762.82, 10,140.16 and 2,809.30

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Solution

The fourth proportional to 6,762.82, 10,140.16 and 2,809.30 is: 4,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.82 : 10,140.16 = 2,809.30 : x
  2. Step 2: Convert to fraction form
    6,762.82/10,140.16 = 2,809.30/x
  3. Step 3: Cross multiply
    6,762.82x = 10,140.16 × 2,809.30
  4. Step 4: Simplify right side
    6,762.82x = 28,486,751.49
  5. Step 5: Solve for x
    x = 28,486,751.49/6,762.82
  6. Step 6: Final answer
    x = 4,212.26

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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.