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Finding the Fourth Proportional to 21,842.55, 32,736.38 and 9,347.90

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Solution

The fourth proportional to 21,842.55, 32,736.38 and 9,347.90 is: 14,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.55 : 32,736.38 = 9,347.90 : x
  2. Step 2: Convert to fraction form
    21,842.55/32,736.38 = 9,347.90/x
  3. Step 3: Cross multiply
    21,842.55x = 32,736.38 × 9,347.90
  4. Step 4: Simplify right side
    21,842.55x = 306,016,196.18
  5. Step 5: Solve for x
    x = 306,016,196.18/21,842.55
  6. Step 6: Final answer
    x = 14,010.09

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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.