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Finding the Fourth Proportional to 31,070, 42,879.84 and 17,644.88

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Solution

The fourth proportional to 31,070, 42,879.84 and 17,644.88 is: 24,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070 : 42,879.84 = 17,644.88 : x
  2. Step 2: Convert to fraction form
    31,070/42,879.84 = 17,644.88/x
  3. Step 3: Cross multiply
    31,070x = 42,879.84 × 17,644.88
  4. Step 4: Simplify right side
    31,070x = 756,609,631.22
  5. Step 5: Solve for x
    x = 756,609,631.22/31,070
  6. Step 6: Final answer
    x = 24,351.77

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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.