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Finding the Fourth Proportional to 20,628, 30,955.01 and 8,781.75

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Solution

The fourth proportional to 20,628, 30,955.01 and 8,781.75 is: 13,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628 : 30,955.01 = 8,781.75 : x
  2. Step 2: Convert to fraction form
    20,628/30,955.01 = 8,781.75/x
  3. Step 3: Cross multiply
    20,628x = 30,955.01 × 8,781.75
  4. Step 4: Simplify right side
    20,628x = 271,839,159.07
  5. Step 5: Solve for x
    x = 271,839,159.07/20,628
  6. Step 6: Final answer
    x = 13,178.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.