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Finding the Fourth Proportional to 7,187.86, 10,785.35 and 3,241.86

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Solution

The fourth proportional to 7,187.86, 10,785.35 and 3,241.86 is: 4,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.86 : 10,785.35 = 3,241.86 : x
  2. Step 2: Convert to fraction form
    7,187.86/10,785.35 = 3,241.86/x
  3. Step 3: Cross multiply
    7,187.86x = 10,785.35 × 3,241.86
  4. Step 4: Simplify right side
    7,187.86x = 34,964,594.75
  5. Step 5: Solve for x
    x = 34,964,594.75/7,187.86
  6. Step 6: Final answer
    x = 4,864.40

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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.