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Finding the Fourth Proportional to 4,778.64, 7,169.80 and 1,859

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Solution

The fourth proportional to 4,778.64, 7,169.80 and 1,859 is: 2,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.64 : 7,169.80 = 1,859 : x
  2. Step 2: Convert to fraction form
    4,778.64/7,169.80 = 1,859/x
  3. Step 3: Cross multiply
    4,778.64x = 7,169.80 × 1,859
  4. Step 4: Simplify right side
    4,778.64x = 13,328,658.20
  5. Step 5: Solve for x
    x = 13,328,658.20/4,778.64
  6. Step 6: Final answer
    x = 2,789.22

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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.