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Finding the Fourth Proportional to 21,843.36, 32,768.16 and 7,989.12

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Solution

The fourth proportional to 21,843.36, 32,768.16 and 7,989.12 is: 11,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.36 : 32,768.16 = 7,989.12 : x
  2. Step 2: Convert to fraction form
    21,843.36/32,768.16 = 7,989.12/x
  3. Step 3: Cross multiply
    21,843.36x = 32,768.16 × 7,989.12
  4. Step 4: Simplify right side
    21,843.36x = 261,788,762.42
  5. Step 5: Solve for x
    x = 261,788,762.42/21,843.36
  6. Step 6: Final answer
    x = 11,984.82

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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.