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Finding the Fourth Proportional to 11,509.67, 17,264.87 and 3,189.77

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Solution

The fourth proportional to 11,509.67, 17,264.87 and 3,189.77 is: 4,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.67 : 17,264.87 = 3,189.77 : x
  2. Step 2: Convert to fraction form
    11,509.67/17,264.87 = 3,189.77/x
  3. Step 3: Cross multiply
    11,509.67x = 17,264.87 × 3,189.77
  4. Step 4: Simplify right side
    11,509.67x = 55,070,862.11
  5. Step 5: Solve for x
    x = 55,070,862.11/11,509.67
  6. Step 6: Final answer
    x = 4,784.75

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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.