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Finding the Fourth Proportional to 5,201.94, 7,805.99 and 1,917.34

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Solution

The fourth proportional to 5,201.94, 7,805.99 and 1,917.34 is: 2,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.94 : 7,805.99 = 1,917.34 : x
  2. Step 2: Convert to fraction form
    5,201.94/7,805.99 = 1,917.34/x
  3. Step 3: Cross multiply
    5,201.94x = 7,805.99 × 1,917.34
  4. Step 4: Simplify right side
    5,201.94x = 14,966,736.87
  5. Step 5: Solve for x
    x = 14,966,736.87/5,201.94
  6. Step 6: Final answer
    x = 2,877.15

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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.