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Finding the Fourth Proportional to 2,471.56, 3,706.86 and 739.80

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Solution

The fourth proportional to 2,471.56, 3,706.86 and 739.80 is: 1,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.56 : 3,706.86 = 739.80 : x
  2. Step 2: Convert to fraction form
    2,471.56/3,706.86 = 739.80/x
  3. Step 3: Cross multiply
    2,471.56x = 3,706.86 × 739.80
  4. Step 4: Simplify right side
    2,471.56x = 2,742,335.03
  5. Step 5: Solve for x
    x = 2,742,335.03/2,471.56
  6. Step 6: Final answer
    x = 1,109.56

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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.