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Finding the Fourth Proportional to 21,992.80, 30,349.76 and 12,561.20

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Solution

The fourth proportional to 21,992.80, 30,349.76 and 12,561.20 is: 17,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.80 : 30,349.76 = 12,561.20 : x
  2. Step 2: Convert to fraction form
    21,992.80/30,349.76 = 12,561.20/x
  3. Step 3: Cross multiply
    21,992.80x = 30,349.76 × 12,561.20
  4. Step 4: Simplify right side
    21,992.80x = 381,229,405.31
  5. Step 5: Solve for x
    x = 381,229,405.31/21,992.80
  6. Step 6: Final answer
    x = 17,334.28

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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.