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Finding the Fourth Proportional to 30,975.84, 42,714 and 22,014

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Solution

The fourth proportional to 30,975.84, 42,714 and 22,014 is: 30,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.84 : 42,714 = 22,014 : x
  2. Step 2: Convert to fraction form
    30,975.84/42,714 = 22,014/x
  3. Step 3: Cross multiply
    30,975.84x = 42,714 × 22,014
  4. Step 4: Simplify right side
    30,975.84x = 940,305,996
  5. Step 5: Solve for x
    x = 940,305,996/30,975.84
  6. Step 6: Final answer
    x = 30,356.11

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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.