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Finding the Fourth Proportional to 31,293, 43,183.86 and 17,872.08

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Solution

The fourth proportional to 31,293, 43,183.86 and 17,872.08 is: 24,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293 : 43,183.86 = 17,872.08 : x
  2. Step 2: Convert to fraction form
    31,293/43,183.86 = 17,872.08/x
  3. Step 3: Cross multiply
    31,293x = 43,183.86 × 17,872.08
  4. Step 4: Simplify right side
    31,293x = 771,785,400.63
  5. Step 5: Solve for x
    x = 771,785,400.63/31,293
  6. Step 6: Final answer
    x = 24,663.20

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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.