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Finding the Fourth Proportional to 2,506.07, 3,759.19 and 751.09

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Solution

The fourth proportional to 2,506.07, 3,759.19 and 751.09 is: 1,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.07 : 3,759.19 = 751.09 : x
  2. Step 2: Convert to fraction form
    2,506.07/3,759.19 = 751.09/x
  3. Step 3: Cross multiply
    2,506.07x = 3,759.19 × 751.09
  4. Step 4: Simplify right side
    2,506.07x = 2,823,478.74
  5. Step 5: Solve for x
    x = 2,823,478.74/2,506.07
  6. Step 6: Final answer
    x = 1,126.66

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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.