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Finding the Fourth Proportional to 30,976.30, 42,747.34 and 16,829.14

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Solution

The fourth proportional to 30,976.30, 42,747.34 and 16,829.14 is: 23,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.30 : 42,747.34 = 16,829.14 : x
  2. Step 2: Convert to fraction form
    30,976.30/42,747.34 = 16,829.14/x
  3. Step 3: Cross multiply
    30,976.30x = 42,747.34 × 16,829.14
  4. Step 4: Simplify right side
    30,976.30x = 719,400,969.49
  5. Step 5: Solve for x
    x = 719,400,969.49/30,976.30
  6. Step 6: Final answer
    x = 23,224.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.