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Finding the Fourth Proportional to 3,091.92, 4,637.84 and 751.96

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Solution

The fourth proportional to 3,091.92, 4,637.84 and 751.96 is: 1,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.92 : 4,637.84 = 751.96 : x
  2. Step 2: Convert to fraction form
    3,091.92/4,637.84 = 751.96/x
  3. Step 3: Cross multiply
    3,091.92x = 4,637.84 × 751.96
  4. Step 4: Simplify right side
    3,091.92x = 3,487,470.17
  5. Step 5: Solve for x
    x = 3,487,470.17/3,091.92
  6. Step 6: Final answer
    x = 1,127.93

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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.