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Finding the Fourth Proportional to 4,781.73, 7,172.73 and 1,494.75

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Solution

The fourth proportional to 4,781.73, 7,172.73 and 1,494.75 is: 2,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.73 : 7,172.73 = 1,494.75 : x
  2. Step 2: Convert to fraction form
    4,781.73/7,172.73 = 1,494.75/x
  3. Step 3: Cross multiply
    4,781.73x = 7,172.73 × 1,494.75
  4. Step 4: Simplify right side
    4,781.73x = 10,721,438.17
  5. Step 5: Solve for x
    x = 10,721,438.17/4,781.73
  6. Step 6: Final answer
    x = 2,242.17

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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.