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Finding the Fourth Proportional to 20,640.84, 30,976.32 and 7,494.30

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Solution

The fourth proportional to 20,640.84, 30,976.32 and 7,494.30 is: 11,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.84 : 30,976.32 = 7,494.30 : x
  2. Step 2: Convert to fraction form
    20,640.84/30,976.32 = 7,494.30/x
  3. Step 3: Cross multiply
    20,640.84x = 30,976.32 × 7,494.30
  4. Step 4: Simplify right side
    20,640.84x = 232,145,834.98
  5. Step 5: Solve for x
    x = 232,145,834.98/20,640.84
  6. Step 6: Final answer
    x = 11,246.92

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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.