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Finding the Fourth Proportional to 11,761.20, 17,643.02 and 6,220.80

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Solution

The fourth proportional to 11,761.20, 17,643.02 and 6,220.80 is: 9,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.20 : 17,643.02 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    11,761.20/17,643.02 = 6,220.80/x
  3. Step 3: Cross multiply
    11,761.20x = 17,643.02 × 6,220.80
  4. Step 4: Simplify right side
    11,761.20x = 109,753,667.71
  5. Step 5: Solve for x
    x = 109,753,667.71/11,761.20
  6. Step 6: Final answer
    x = 9,331.84

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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.