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Finding the Fourth Proportional to 6,762.78, 10,144.17 and 2,320.20

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Solution

The fourth proportional to 6,762.78, 10,144.17 and 2,320.20 is: 3,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.78 : 10,144.17 = 2,320.20 : x
  2. Step 2: Convert to fraction form
    6,762.78/10,144.17 = 2,320.20/x
  3. Step 3: Cross multiply
    6,762.78x = 10,144.17 × 2,320.20
  4. Step 4: Simplify right side
    6,762.78x = 23,536,503.23
  5. Step 5: Solve for x
    x = 23,536,503.23/6,762.78
  6. Step 6: Final answer
    x = 3,480.30

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1.5x scale

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.