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Finding the Fourth Proportional to 31,107, 42,927.66 and 19,929

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Solution

The fourth proportional to 31,107, 42,927.66 and 19,929 is: 27,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107 : 42,927.66 = 19,929 : x
  2. Step 2: Convert to fraction form
    31,107/42,927.66 = 19,929/x
  3. Step 3: Cross multiply
    31,107x = 42,927.66 × 19,929
  4. Step 4: Simplify right side
    31,107x = 855,505,336.14
  5. Step 5: Solve for x
    x = 855,505,336.14/31,107
  6. Step 6: Final answer
    x = 27,502.02

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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.