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Finding the Fourth Proportional to 5,191.83, 7,790.86 and 1,905.26

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Solution

The fourth proportional to 5,191.83, 7,790.86 and 1,905.26 is: 2,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.83 : 7,790.86 = 1,905.26 : x
  2. Step 2: Convert to fraction form
    5,191.83/7,790.86 = 1,905.26/x
  3. Step 3: Cross multiply
    5,191.83x = 7,790.86 × 1,905.26
  4. Step 4: Simplify right side
    5,191.83x = 14,843,570.21
  5. Step 5: Solve for x
    x = 14,843,570.21/5,191.83
  6. Step 6: Final answer
    x = 2,859.02

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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.