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Finding the Fourth Proportional to 16,821.54, 23,213.79 and 9,752.13

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Solution

The fourth proportional to 16,821.54, 23,213.79 and 9,752.13 is: 13,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.54 : 23,213.79 = 9,752.13 : x
  2. Step 2: Convert to fraction form
    16,821.54/23,213.79 = 9,752.13/x
  3. Step 3: Cross multiply
    16,821.54x = 23,213.79 × 9,752.13
  4. Step 4: Simplify right side
    16,821.54x = 226,383,897.87
  5. Step 5: Solve for x
    x = 226,383,897.87/16,821.54
  6. Step 6: Final answer
    x = 13,457.98

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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.