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Finding the Fourth Proportional to 10,203.12, 15,282 and 8,234.64

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Solution

The fourth proportional to 10,203.12, 15,282 and 8,234.64 is: 12,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.12 : 15,282 = 8,234.64 : x
  2. Step 2: Convert to fraction form
    10,203.12/15,282 = 8,234.64/x
  3. Step 3: Cross multiply
    10,203.12x = 15,282 × 8,234.64
  4. Step 4: Simplify right side
    10,203.12x = 125,841,768.48
  5. Step 5: Solve for x
    x = 125,841,768.48/10,203.12
  6. Step 6: Final answer
    x = 12,333.66

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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.