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Finding the Fourth Proportional to 5,205.96, 7,809.03 and 1,917.36

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Solution

The fourth proportional to 5,205.96, 7,809.03 and 1,917.36 is: 2,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.96 : 7,809.03 = 1,917.36 : x
  2. Step 2: Convert to fraction form
    5,205.96/7,809.03 = 1,917.36/x
  3. Step 3: Cross multiply
    5,205.96x = 7,809.03 × 1,917.36
  4. Step 4: Simplify right side
    5,205.96x = 14,972,721.76
  5. Step 5: Solve for x
    x = 14,972,721.76/5,205.96
  6. Step 6: Final answer
    x = 2,876.07

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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.