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Finding the Fourth Proportional to 21,611.94, 32,393.82 and 9,128.22

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Solution

The fourth proportional to 21,611.94, 32,393.82 and 9,128.22 is: 13,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.94 : 32,393.82 = 9,128.22 : x
  2. Step 2: Convert to fraction form
    21,611.94/32,393.82 = 9,128.22/x
  3. Step 3: Cross multiply
    21,611.94x = 32,393.82 × 9,128.22
  4. Step 4: Simplify right side
    21,611.94x = 295,697,915.60
  5. Step 5: Solve for x
    x = 295,697,915.60/21,611.94
  6. Step 6: Final answer
    x = 13,682.16

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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.