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Finding the Fourth Proportional to 2,290.26, 3,435.52 and 751.26

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Solution

The fourth proportional to 2,290.26, 3,435.52 and 751.26 is: 1,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.26 : 3,435.52 = 751.26 : x
  2. Step 2: Convert to fraction form
    2,290.26/3,435.52 = 751.26/x
  3. Step 3: Cross multiply
    2,290.26x = 3,435.52 × 751.26
  4. Step 4: Simplify right side
    2,290.26x = 2,580,968.76
  5. Step 5: Solve for x
    x = 2,580,968.76/2,290.26
  6. Step 6: Final answer
    x = 1,126.93

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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.