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Finding the Fourth Proportional to 11,771.72, 17,611.02 and 9,118.28

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Solution

The fourth proportional to 11,771.72, 17,611.02 and 9,118.28 is: 13,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.72 : 17,611.02 = 9,118.28 : x
  2. Step 2: Convert to fraction form
    11,771.72/17,611.02 = 9,118.28/x
  3. Step 3: Cross multiply
    11,771.72x = 17,611.02 × 9,118.28
  4. Step 4: Simplify right side
    11,771.72x = 160,582,211.45
  5. Step 5: Solve for x
    x = 160,582,211.45/11,771.72
  6. Step 6: Final answer
    x = 13,641.35

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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.