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Finding the Fourth Proportional to 21,842.64, 32,714.64 and 17,906.04

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Solution

The fourth proportional to 21,842.64, 32,714.64 and 17,906.04 is: 26,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.64 : 32,714.64 = 17,906.04 : x
  2. Step 2: Convert to fraction form
    21,842.64/32,714.64 = 17,906.04/x
  3. Step 3: Cross multiply
    21,842.64x = 32,714.64 × 17,906.04
  4. Step 4: Simplify right side
    21,842.64x = 585,789,652.43
  5. Step 5: Solve for x
    x = 585,789,652.43/21,842.64
  6. Step 6: Final answer
    x = 26,818.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.