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Finding the Fourth Proportional to 7,875.87, 11,813.68 and 3,195.86

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Solution

The fourth proportional to 7,875.87, 11,813.68 and 3,195.86 is: 4,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.87 : 11,813.68 = 3,195.86 : x
  2. Step 2: Convert to fraction form
    7,875.87/11,813.68 = 3,195.86/x
  3. Step 3: Cross multiply
    7,875.87x = 11,813.68 × 3,195.86
  4. Step 4: Simplify right side
    7,875.87x = 37,754,812.29
  5. Step 5: Solve for x
    x = 37,754,812.29/7,875.87
  6. Step 6: Final answer
    x = 4,793.73

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1.5x scale

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.