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Finding the Fourth Proportional to 11,159.76, 16,742.72 and 9,074.60

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Solution

The fourth proportional to 11,159.76, 16,742.72 and 9,074.60 is: 13,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.76 : 16,742.72 = 9,074.60 : x
  2. Step 2: Convert to fraction form
    11,159.76/16,742.72 = 9,074.60/x
  3. Step 3: Cross multiply
    11,159.76x = 16,742.72 × 9,074.60
  4. Step 4: Simplify right side
    11,159.76x = 151,933,486.91
  5. Step 5: Solve for x
    x = 151,933,486.91/11,159.76
  6. Step 6: Final answer
    x = 13,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.