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Finding the Fourth Proportional to 7,813.43, 11,720.14 and 3,916.92

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Solution

The fourth proportional to 7,813.43, 11,720.14 and 3,916.92 is: 5,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.43 : 11,720.14 = 3,916.92 : x
  2. Step 2: Convert to fraction form
    7,813.43/11,720.14 = 3,916.92/x
  3. Step 3: Cross multiply
    7,813.43x = 11,720.14 × 3,916.92
  4. Step 4: Simplify right side
    7,813.43x = 45,906,850.77
  5. Step 5: Solve for x
    x = 45,906,850.77/7,813.43
  6. Step 6: Final answer
    x = 5,875.38

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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.