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Finding the Fourth Proportional to 7,871.59, 11,800.40 and 3,195.05

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Solution

The fourth proportional to 7,871.59, 11,800.40 and 3,195.05 is: 4,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.59 : 11,800.40 = 3,195.05 : x
  2. Step 2: Convert to fraction form
    7,871.59/11,800.40 = 3,195.05/x
  3. Step 3: Cross multiply
    7,871.59x = 11,800.40 × 3,195.05
  4. Step 4: Simplify right side
    7,871.59x = 37,702,881.55
  5. Step 5: Solve for x
    x = 37,702,881.55/7,871.59
  6. Step 6: Final answer
    x = 4,789.74

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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.