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Finding the Fourth Proportional to 10,207, 14,086.74 and 6,481

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Solution

The fourth proportional to 10,207, 14,086.74 and 6,481 is: 8,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 14,086.74 = 6,481 : x
  2. Step 2: Convert to fraction form
    10,207/14,086.74 = 6,481/x
  3. Step 3: Cross multiply
    10,207x = 14,086.74 × 6,481
  4. Step 4: Simplify right side
    10,207x = 91,296,161.94
  5. Step 5: Solve for x
    x = 91,296,161.94/10,207
  6. Step 6: Final answer
    x = 8,944.47

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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.