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Finding the Fourth Proportional to 16,823.57, 23,216.09 and 9,749.57

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Solution

The fourth proportional to 16,823.57, 23,216.09 and 9,749.57 is: 13,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.57 : 23,216.09 = 9,749.57 : x
  2. Step 2: Convert to fraction form
    16,823.57/23,216.09 = 9,749.57/x
  3. Step 3: Cross multiply
    16,823.57x = 23,216.09 × 9,749.57
  4. Step 4: Simplify right side
    16,823.57x = 226,346,729.75
  5. Step 5: Solve for x
    x = 226,346,729.75/16,823.57
  6. Step 6: Final answer
    x = 13,454.15

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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.