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Finding the Fourth Proportional to 15,700.74, 21,667.41 and 8,627.82

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Solution

The fourth proportional to 15,700.74, 21,667.41 and 8,627.82 is: 11,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.74 : 21,667.41 = 8,627.82 : x
  2. Step 2: Convert to fraction form
    15,700.74/21,667.41 = 8,627.82/x
  3. Step 3: Cross multiply
    15,700.74x = 21,667.41 × 8,627.82
  4. Step 4: Simplify right side
    15,700.74x = 186,942,513.35
  5. Step 5: Solve for x
    x = 186,942,513.35/15,700.74
  6. Step 6: Final answer
    x = 11,906.61

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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.