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Finding the Fourth Proportional to 7,140.78, 10,712.76 and 2,523.78

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Solution

The fourth proportional to 7,140.78, 10,712.76 and 2,523.78 is: 3,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.78 : 10,712.76 = 2,523.78 : x
  2. Step 2: Convert to fraction form
    7,140.78/10,712.76 = 2,523.78/x
  3. Step 3: Cross multiply
    7,140.78x = 10,712.76 × 2,523.78
  4. Step 4: Simplify right side
    7,140.78x = 27,036,649.43
  5. Step 5: Solve for x
    x = 27,036,649.43/7,140.78
  6. Step 6: Final answer
    x = 3,786.23

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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.