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Finding the Fourth Proportional to 20,306, 30,463.48 and 8,629.20

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Solution

The fourth proportional to 20,306, 30,463.48 and 8,629.20 is: 12,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306 : 30,463.48 = 8,629.20 : x
  2. Step 2: Convert to fraction form
    20,306/30,463.48 = 8,629.20/x
  3. Step 3: Cross multiply
    20,306x = 30,463.48 × 8,629.20
  4. Step 4: Simplify right side
    20,306x = 262,875,461.62
  5. Step 5: Solve for x
    x = 262,875,461.62/20,306
  6. Step 6: Final answer
    x = 12,945.70

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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.