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Finding the Fourth Proportional to 4,778.78, 7,169.84 and 1,859.13

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Solution

The fourth proportional to 4,778.78, 7,169.84 and 1,859.13 is: 2,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.78 : 7,169.84 = 1,859.13 : x
  2. Step 2: Convert to fraction form
    4,778.78/7,169.84 = 1,859.13/x
  3. Step 3: Cross multiply
    4,778.78x = 7,169.84 × 1,859.13
  4. Step 4: Simplify right side
    4,778.78x = 13,329,664.64
  5. Step 5: Solve for x
    x = 13,329,664.64/4,778.78
  6. Step 6: Final answer
    x = 2,789.34

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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.