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Finding the Fourth Proportional to 3,091.92, 4,637.81 and 751.94

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Solution

The fourth proportional to 3,091.92, 4,637.81 and 751.94 is: 1,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.92 : 4,637.81 = 751.94 : x
  2. Step 2: Convert to fraction form
    3,091.92/4,637.81 = 751.94/x
  3. Step 3: Cross multiply
    3,091.92x = 4,637.81 × 751.94
  4. Step 4: Simplify right side
    3,091.92x = 3,487,333.54
  5. Step 5: Solve for x
    x = 3,487,333.54/3,091.92
  6. Step 6: Final answer
    x = 1,127.89

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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.