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Finding the Fourth Proportional to 23,830.92, 32,886.09 and 13,220.91

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Solution

The fourth proportional to 23,830.92, 32,886.09 and 13,220.91 is: 18,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.92 : 32,886.09 = 13,220.91 : x
  2. Step 2: Convert to fraction form
    23,830.92/32,886.09 = 13,220.91/x
  3. Step 3: Cross multiply
    23,830.92x = 32,886.09 × 13,220.91
  4. Step 4: Simplify right side
    23,830.92x = 434,784,036.14
  5. Step 5: Solve for x
    x = 434,784,036.14/23,830.92
  6. Step 6: Final answer
    x = 18,244.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.