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Finding the Fourth Proportional to 5,147.86, 7,104.06 and 2,790

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Solution

The fourth proportional to 5,147.86, 7,104.06 and 2,790 is: 3,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.86 : 7,104.06 = 2,790 : x
  2. Step 2: Convert to fraction form
    5,147.86/7,104.06 = 2,790/x
  3. Step 3: Cross multiply
    5,147.86x = 7,104.06 × 2,790
  4. Step 4: Simplify right side
    5,147.86x = 19,820,327.40
  5. Step 5: Solve for x
    x = 19,820,327.40/5,147.86
  6. Step 6: Final answer
    x = 3,850.21

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Why These Related Problems?

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