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Finding the Fourth Proportional to 2,050.50, 3,076.11 and 751.68

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Solution

The fourth proportional to 2,050.50, 3,076.11 and 751.68 is: 1,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.50 : 3,076.11 = 751.68 : x
  2. Step 2: Convert to fraction form
    2,050.50/3,076.11 = 751.68/x
  3. Step 3: Cross multiply
    2,050.50x = 3,076.11 × 751.68
  4. Step 4: Simplify right side
    2,050.50x = 2,312,250.36
  5. Step 5: Solve for x
    x = 2,312,250.36/2,050.50
  6. Step 6: Final answer
    x = 1,127.65

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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.