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Finding the Fourth Proportional to 9,859.86, 14,789.79 and 5,251.86

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Solution

The fourth proportional to 9,859.86, 14,789.79 and 5,251.86 is: 7,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.86 : 14,789.79 = 5,251.86 : x
  2. Step 2: Convert to fraction form
    9,859.86/14,789.79 = 5,251.86/x
  3. Step 3: Cross multiply
    9,859.86x = 14,789.79 × 5,251.86
  4. Step 4: Simplify right side
    9,859.86x = 77,673,906.51
  5. Step 5: Solve for x
    x = 77,673,906.51/9,859.86
  6. Step 6: Final answer
    x = 7,877.79

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1.5x scale

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.