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Finding the Fourth Proportional to 7,398.25, 11,099 and 2,781.25

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Solution

The fourth proportional to 7,398.25, 11,099 and 2,781.25 is: 4,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.25 : 11,099 = 2,781.25 : x
  2. Step 2: Convert to fraction form
    7,398.25/11,099 = 2,781.25/x
  3. Step 3: Cross multiply
    7,398.25x = 11,099 × 2,781.25
  4. Step 4: Simplify right side
    7,398.25x = 30,869,093.75
  5. Step 5: Solve for x
    x = 30,869,093.75/7,398.25
  6. Step 6: Final answer
    x = 4,172.49

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1.5x scale

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.