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Finding the Fourth Proportional to 30,994.80, 42,772.32 and 16,848

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Solution

The fourth proportional to 30,994.80, 42,772.32 and 16,848 is: 23,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.80 : 42,772.32 = 16,848 : x
  2. Step 2: Convert to fraction form
    30,994.80/42,772.32 = 16,848/x
  3. Step 3: Cross multiply
    30,994.80x = 42,772.32 × 16,848
  4. Step 4: Simplify right side
    30,994.80x = 720,628,047.36
  5. Step 5: Solve for x
    x = 720,628,047.36/30,994.80
  6. Step 6: Final answer
    x = 23,249.97

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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.