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Finding the Fourth Proportional to 7,137.75, 10,703.78 and 2,752.41

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Solution

The fourth proportional to 7,137.75, 10,703.78 and 2,752.41 is: 4,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.75 : 10,703.78 = 2,752.41 : x
  2. Step 2: Convert to fraction form
    7,137.75/10,703.78 = 2,752.41/x
  3. Step 3: Cross multiply
    7,137.75x = 10,703.78 × 2,752.41
  4. Step 4: Simplify right side
    7,137.75x = 29,461,144.47
  5. Step 5: Solve for x
    x = 29,461,144.47/7,137.75
  6. Step 6: Final answer
    x = 4,127.51

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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.