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Finding the Fourth Proportional to 2,710, 3,739.90 and 1,661.86

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Solution

The fourth proportional to 2,710, 3,739.90 and 1,661.86 is: 2,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710 : 3,739.90 = 1,661.86 : x
  2. Step 2: Convert to fraction form
    2,710/3,739.90 = 1,661.86/x
  3. Step 3: Cross multiply
    2,710x = 3,739.90 × 1,661.86
  4. Step 4: Simplify right side
    2,710x = 6,215,190.21
  5. Step 5: Solve for x
    x = 6,215,190.21/2,710
  6. Step 6: Final answer
    x = 2,293.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.