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Finding the Fourth Proportional to 17,819.55, 24,590.64 and 9,861.78

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Solution

The fourth proportional to 17,819.55, 24,590.64 and 9,861.78 is: 13,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.55 : 24,590.64 = 9,861.78 : x
  2. Step 2: Convert to fraction form
    17,819.55/24,590.64 = 9,861.78/x
  3. Step 3: Cross multiply
    17,819.55x = 24,590.64 × 9,861.78
  4. Step 4: Simplify right side
    17,819.55x = 242,507,481.74
  5. Step 5: Solve for x
    x = 242,507,481.74/17,819.55
  6. Step 6: Final answer
    x = 13,609.07

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1.5x scale

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.