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Finding the Fourth Proportional to 13,660.48, 20,494 and 4,426.48

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Solution

The fourth proportional to 13,660.48, 20,494 and 4,426.48 is: 6,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.48 : 20,494 = 4,426.48 : x
  2. Step 2: Convert to fraction form
    13,660.48/20,494 = 4,426.48/x
  3. Step 3: Cross multiply
    13,660.48x = 20,494 × 4,426.48
  4. Step 4: Simplify right side
    13,660.48x = 90,716,281.12
  5. Step 5: Solve for x
    x = 90,716,281.12/13,660.48
  6. Step 6: Final answer
    x = 6,640.78

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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.