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Finding the Fourth Proportional to 21,832.96, 30,129.96 and 12,882.64

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Solution

The fourth proportional to 21,832.96, 30,129.96 and 12,882.64 is: 17,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.96 : 30,129.96 = 12,882.64 : x
  2. Step 2: Convert to fraction form
    21,832.96/30,129.96 = 12,882.64/x
  3. Step 3: Cross multiply
    21,832.96x = 30,129.96 × 12,882.64
  4. Step 4: Simplify right side
    21,832.96x = 388,153,427.89
  5. Step 5: Solve for x
    x = 388,153,427.89/21,832.96
  6. Step 6: Final answer
    x = 17,778.32

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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.