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Finding the Fourth Proportional to 20,393.84, 30,564.84 and 9,306.56

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Solution

The fourth proportional to 20,393.84, 30,564.84 and 9,306.56 is: 13,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.84 : 30,564.84 = 9,306.56 : x
  2. Step 2: Convert to fraction form
    20,393.84/30,564.84 = 9,306.56/x
  3. Step 3: Cross multiply
    20,393.84x = 30,564.84 × 9,306.56
  4. Step 4: Simplify right side
    20,393.84x = 284,453,517.35
  5. Step 5: Solve for x
    x = 284,453,517.35/20,393.84
  6. Step 6: Final answer
    x = 13,948.01

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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.