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Finding the Fourth Proportional to 5,201.13, 7,801.80 and 1,305.44

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Solution

The fourth proportional to 5,201.13, 7,801.80 and 1,305.44 is: 1,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.13 : 7,801.80 = 1,305.44 : x
  2. Step 2: Convert to fraction form
    5,201.13/7,801.80 = 1,305.44/x
  3. Step 3: Cross multiply
    5,201.13x = 7,801.80 × 1,305.44
  4. Step 4: Simplify right side
    5,201.13x = 10,184,781.79
  5. Step 5: Solve for x
    x = 10,184,781.79/5,201.13
  6. Step 6: Final answer
    x = 1,958.19

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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.