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Finding the Fourth Proportional to 20,306, 30,462.84 and 9,213.56

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Solution

The fourth proportional to 20,306, 30,462.84 and 9,213.56 is: 13,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306 : 30,462.84 = 9,213.56 : x
  2. Step 2: Convert to fraction form
    20,306/30,462.84 = 9,213.56/x
  3. Step 3: Cross multiply
    20,306x = 30,462.84 × 9,213.56
  4. Step 4: Simplify right side
    20,306x = 280,671,204.11
  5. Step 5: Solve for x
    x = 280,671,204.11/20,306
  6. Step 6: Final answer
    x = 13,822.08

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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.