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Finding the Fourth Proportional to 8,611.32, 11,889.42 and 5,782.89

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Solution

The fourth proportional to 8,611.32, 11,889.42 and 5,782.89 is: 7,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.32 : 11,889.42 = 5,782.89 : x
  2. Step 2: Convert to fraction form
    8,611.32/11,889.42 = 5,782.89/x
  3. Step 3: Cross multiply
    8,611.32x = 11,889.42 × 5,782.89
  4. Step 4: Simplify right side
    8,611.32x = 68,755,208.02
  5. Step 5: Solve for x
    x = 68,755,208.02/8,611.32
  6. Step 6: Final answer
    x = 7,984.28

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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.