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Finding the Fourth Proportional to 11,216.70, 15,480.42 and 6,742.80

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Solution

The fourth proportional to 11,216.70, 15,480.42 and 6,742.80 is: 9,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.70 : 15,480.42 = 6,742.80 : x
  2. Step 2: Convert to fraction form
    11,216.70/15,480.42 = 6,742.80/x
  3. Step 3: Cross multiply
    11,216.70x = 15,480.42 × 6,742.80
  4. Step 4: Simplify right side
    11,216.70x = 104,381,375.98
  5. Step 5: Solve for x
    x = 104,381,375.98/11,216.70
  6. Step 6: Final answer
    x = 9,305.89

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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.