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Finding the Fourth Proportional to 11,239.20, 15,511.20 and 6,523.20

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Solution

The fourth proportional to 11,239.20, 15,511.20 and 6,523.20 is: 9,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239.20 : 15,511.20 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    11,239.20/15,511.20 = 6,523.20/x
  3. Step 3: Cross multiply
    11,239.20x = 15,511.20 × 6,523.20
  4. Step 4: Simplify right side
    11,239.20x = 101,182,659.84
  5. Step 5: Solve for x
    x = 101,182,659.84/11,239.20
  6. Step 6: Final answer
    x = 9,002.66

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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.