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Finding the Fourth Proportional to 31,714.57, 43,784.04 and 21,657.61

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Solution

The fourth proportional to 31,714.57, 43,784.04 and 21,657.61 is: 29,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.57 : 43,784.04 = 21,657.61 : x
  2. Step 2: Convert to fraction form
    31,714.57/43,784.04 = 21,657.61/x
  3. Step 3: Cross multiply
    31,714.57x = 43,784.04 × 21,657.61
  4. Step 4: Simplify right side
    31,714.57x = 948,257,662.54
  5. Step 5: Solve for x
    x = 948,257,662.54/31,714.57
  6. Step 6: Final answer
    x = 29,899.75

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1.5x scale

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.