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Finding the Fourth Proportional to 2,050.12, 3,074.88 and 751.28

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Solution

The fourth proportional to 2,050.12, 3,074.88 and 751.28 is: 1,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.12 : 3,074.88 = 751.28 : x
  2. Step 2: Convert to fraction form
    2,050.12/3,074.88 = 751.28/x
  3. Step 3: Cross multiply
    2,050.12x = 3,074.88 × 751.28
  4. Step 4: Simplify right side
    2,050.12x = 2,310,095.85
  5. Step 5: Solve for x
    x = 2,310,095.85/2,050.12
  6. Step 6: Final answer
    x = 1,126.81

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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.