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Finding the Fourth Proportional to 10,193, 14,031.78 and 9,144.68

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Solution

The fourth proportional to 10,193, 14,031.78 and 9,144.68 is: 12,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193 : 14,031.78 = 9,144.68 : x
  2. Step 2: Convert to fraction form
    10,193/14,031.78 = 9,144.68/x
  3. Step 3: Cross multiply
    10,193x = 14,031.78 × 9,144.68
  4. Step 4: Simplify right side
    10,193x = 128,316,137.93
  5. Step 5: Solve for x
    x = 128,316,137.93/10,193
  6. Step 6: Final answer
    x = 12,588.65

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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.