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Finding the Fourth Proportional to 16,485, 22,749.30 and 9,861

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Solution

The fourth proportional to 16,485, 22,749.30 and 9,861 is: 13,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485 : 22,749.30 = 9,861 : x
  2. Step 2: Convert to fraction form
    16,485/22,749.30 = 9,861/x
  3. Step 3: Cross multiply
    16,485x = 22,749.30 × 9,861
  4. Step 4: Simplify right side
    16,485x = 224,330,847.30
  5. Step 5: Solve for x
    x = 224,330,847.30/16,485
  6. Step 6: Final answer
    x = 13,608.18

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Why These Related Problems?

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