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Finding the Fourth Proportional to 1,861.96, 2,793.40 and 751.46

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Solution

The fourth proportional to 1,861.96, 2,793.40 and 751.46 is: 1,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.96 : 2,793.40 = 751.46 : x
  2. Step 2: Convert to fraction form
    1,861.96/2,793.40 = 751.46/x
  3. Step 3: Cross multiply
    1,861.96x = 2,793.40 × 751.46
  4. Step 4: Simplify right side
    1,861.96x = 2,099,128.36
  5. Step 5: Solve for x
    x = 2,099,128.36/1,861.96
  6. Step 6: Final answer
    x = 1,127.38

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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.