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Finding the Fourth Proportional to 30,885.44, 42,622.06 and 16,738.28

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Solution

The fourth proportional to 30,885.44, 42,622.06 and 16,738.28 is: 23,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.44 : 42,622.06 = 16,738.28 : x
  2. Step 2: Convert to fraction form
    30,885.44/42,622.06 = 16,738.28/x
  3. Step 3: Cross multiply
    30,885.44x = 42,622.06 × 16,738.28
  4. Step 4: Simplify right side
    30,885.44x = 713,419,964.97
  5. Step 5: Solve for x
    x = 713,419,964.97/30,885.44
  6. Step 6: Final answer
    x = 23,098.91

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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.