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Finding the Fourth Proportional to 11,509.65, 17,264.42 and 3,189.64

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Solution

The fourth proportional to 11,509.65, 17,264.42 and 3,189.64 is: 4,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.65 : 17,264.42 = 3,189.64 : x
  2. Step 2: Convert to fraction form
    11,509.65/17,264.42 = 3,189.64/x
  3. Step 3: Cross multiply
    11,509.65x = 17,264.42 × 3,189.64
  4. Step 4: Simplify right side
    11,509.65x = 55,067,318.15
  5. Step 5: Solve for x
    x = 55,067,318.15/11,509.65
  6. Step 6: Final answer
    x = 4,784.45

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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.