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Finding the Fourth Proportional to 31,680, 43,714.62 and 17,530.92

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Solution

The fourth proportional to 31,680, 43,714.62 and 17,530.92 is: 24,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680 : 43,714.62 = 17,530.92 : x
  2. Step 2: Convert to fraction form
    31,680/43,714.62 = 17,530.92/x
  3. Step 3: Cross multiply
    31,680x = 43,714.62 × 17,530.92
  4. Step 4: Simplify right side
    31,680x = 766,357,506.05
  5. Step 5: Solve for x
    x = 766,357,506.05/31,680
  6. Step 6: Final answer
    x = 24,190.58

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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.