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Finding the Fourth Proportional to 20,663.79, 30,977.50 and 8,192.57

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Solution

The fourth proportional to 20,663.79, 30,977.50 and 8,192.57 is: 12,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,663.79 : 30,977.50 = 8,192.57 : x
  2. Step 2: Convert to fraction form
    20,663.79/30,977.50 = 8,192.57/x
  3. Step 3: Cross multiply
    20,663.79x = 30,977.50 × 8,192.57
  4. Step 4: Simplify right side
    20,663.79x = 253,785,394.14
  5. Step 5: Solve for x
    x = 253,785,394.14/20,663.79
  6. Step 6: Final answer
    x = 12,281.65

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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.