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Finding the Fourth Proportional to 30,772.75, 42,480.56 and 18,024.16

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Solution

The fourth proportional to 30,772.75, 42,480.56 and 18,024.16 is: 24,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.75 : 42,480.56 = 18,024.16 : x
  2. Step 2: Convert to fraction form
    30,772.75/42,480.56 = 18,024.16/x
  3. Step 3: Cross multiply
    30,772.75x = 42,480.56 × 18,024.16
  4. Step 4: Simplify right side
    30,772.75x = 765,676,410.33
  5. Step 5: Solve for x
    x = 765,676,410.33/30,772.75
  6. Step 6: Final answer
    x = 24,881.64

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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.