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Finding the Fourth Proportional to 3,131.05, 4,320.14 and 1,871.90

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Solution

The fourth proportional to 3,131.05, 4,320.14 and 1,871.90 is: 2,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.05 : 4,320.14 = 1,871.90 : x
  2. Step 2: Convert to fraction form
    3,131.05/4,320.14 = 1,871.90/x
  3. Step 3: Cross multiply
    3,131.05x = 4,320.14 × 1,871.90
  4. Step 4: Simplify right side
    3,131.05x = 8,086,848.47
  5. Step 5: Solve for x
    x = 8,086,848.47/3,131.05
  6. Step 6: Final answer
    x = 2,582.79

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