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Finding the Fourth Proportional to 20,655.90, 30,983.91 and 8,178.87

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Solution

The fourth proportional to 20,655.90, 30,983.91 and 8,178.87 is: 12,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.90 : 30,983.91 = 8,178.87 : x
  2. Step 2: Convert to fraction form
    20,655.90/30,983.91 = 8,178.87/x
  3. Step 3: Cross multiply
    20,655.90x = 30,983.91 × 8,178.87
  4. Step 4: Simplify right side
    20,655.90x = 253,413,371.98
  5. Step 5: Solve for x
    x = 253,413,371.98/20,655.90
  6. Step 6: Final answer
    x = 12,268.33

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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.