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Finding the Fourth Proportional to 11,509.76, 17,265.01 and 3,189.86

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Solution

The fourth proportional to 11,509.76, 17,265.01 and 3,189.86 is: 4,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.76 : 17,265.01 = 3,189.86 : x
  2. Step 2: Convert to fraction form
    11,509.76/17,265.01 = 3,189.86/x
  3. Step 3: Cross multiply
    11,509.76x = 17,265.01 × 3,189.86
  4. Step 4: Simplify right side
    11,509.76x = 55,072,870.50
  5. Step 5: Solve for x
    x = 55,072,870.50/11,509.76
  6. Step 6: Final answer
    x = 4,784.88

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Double scale
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1.5x scale

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.