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Finding the Fourth Proportional to 22,611.84, 31,203.84 and 13,181.28

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Solution

The fourth proportional to 22,611.84, 31,203.84 and 13,181.28 is: 18,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.84 : 31,203.84 = 13,181.28 : x
  2. Step 2: Convert to fraction form
    22,611.84/31,203.84 = 13,181.28/x
  3. Step 3: Cross multiply
    22,611.84x = 31,203.84 × 13,181.28
  4. Step 4: Simplify right side
    22,611.84x = 411,306,552.12
  5. Step 5: Solve for x
    x = 411,306,552.12/22,611.84
  6. Step 6: Final answer
    x = 18,189.88

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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.