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Finding the Fourth Proportional to 10,135.80, 13,933.71 and 8,714.25

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Solution

The fourth proportional to 10,135.80, 13,933.71 and 8,714.25 is: 11,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.80 : 13,933.71 = 8,714.25 : x
  2. Step 2: Convert to fraction form
    10,135.80/13,933.71 = 8,714.25/x
  3. Step 3: Cross multiply
    10,135.80x = 13,933.71 × 8,714.25
  4. Step 4: Simplify right side
    10,135.80x = 121,421,832.37
  5. Step 5: Solve for x
    x = 121,421,832.37/10,135.80
  6. Step 6: Final answer
    x = 11,979.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.