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Finding the Fourth Proportional to 21,842.58, 32,763.88 and 17,439.42

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Solution

The fourth proportional to 21,842.58, 32,763.88 and 17,439.42 is: 26,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.58 : 32,763.88 = 17,439.42 : x
  2. Step 2: Convert to fraction form
    21,842.58/32,763.88 = 17,439.42/x
  3. Step 3: Cross multiply
    21,842.58x = 32,763.88 × 17,439.42
  4. Step 4: Simplify right side
    21,842.58x = 571,383,064.15
  5. Step 5: Solve for x
    x = 571,383,064.15/21,842.58
  6. Step 6: Final answer
    x = 26,159.14

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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.