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Finding the Fourth Proportional to 3,091.90, 4,637.81 and 751.92

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Solution

The fourth proportional to 3,091.90, 4,637.81 and 751.92 is: 1,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.90 : 4,637.81 = 751.92 : x
  2. Step 2: Convert to fraction form
    3,091.90/4,637.81 = 751.92/x
  3. Step 3: Cross multiply
    3,091.90x = 4,637.81 × 751.92
  4. Step 4: Simplify right side
    3,091.90x = 3,487,268.44
  5. Step 5: Solve for x
    x = 3,487,268.44/3,091.90
  6. Step 6: Final answer
    x = 1,127.87

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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.