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Finding the Fourth Proportional to 5,207.96, 7,804.92 and 1,917.92

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Solution

The fourth proportional to 5,207.96, 7,804.92 and 1,917.92 is: 2,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.96 : 7,804.92 = 1,917.92 : x
  2. Step 2: Convert to fraction form
    5,207.96/7,804.92 = 1,917.92/x
  3. Step 3: Cross multiply
    5,207.96x = 7,804.92 × 1,917.92
  4. Step 4: Simplify right side
    5,207.96x = 14,969,212.17
  5. Step 5: Solve for x
    x = 14,969,212.17/5,207.96
  6. Step 6: Final answer
    x = 2,874.29

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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.