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Finding the Fourth Proportional to 7,671.81, 11,513.95 and 3,975.02

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Solution

The fourth proportional to 7,671.81, 11,513.95 and 3,975.02 is: 5,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.81 : 11,513.95 = 3,975.02 : x
  2. Step 2: Convert to fraction form
    7,671.81/11,513.95 = 3,975.02/x
  3. Step 3: Cross multiply
    7,671.81x = 11,513.95 × 3,975.02
  4. Step 4: Simplify right side
    7,671.81x = 45,768,221.96
  5. Step 5: Solve for x
    x = 45,768,221.96/7,671.81
  6. Step 6: Final answer
    x = 5,965.76

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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.