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Finding the Fourth Proportional to 15,203.70, 20,981.52 and 9,234

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Solution

The fourth proportional to 15,203.70, 20,981.52 and 9,234 is: 12,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.70 : 20,981.52 = 9,234 : x
  2. Step 2: Convert to fraction form
    15,203.70/20,981.52 = 9,234/x
  3. Step 3: Cross multiply
    15,203.70x = 20,981.52 × 9,234
  4. Step 4: Simplify right side
    15,203.70x = 193,743,355.68
  5. Step 5: Solve for x
    x = 193,743,355.68/15,203.70
  6. Step 6: Final answer
    x = 12,743.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.