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Finding the Fourth Proportional to 5,199.80, 7,795.02 and 1,910.66

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Solution

The fourth proportional to 5,199.80, 7,795.02 and 1,910.66 is: 2,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.80 : 7,795.02 = 1,910.66 : x
  2. Step 2: Convert to fraction form
    5,199.80/7,795.02 = 1,910.66/x
  3. Step 3: Cross multiply
    5,199.80x = 7,795.02 × 1,910.66
  4. Step 4: Simplify right side
    5,199.80x = 14,893,632.91
  5. Step 5: Solve for x
    x = 14,893,632.91/5,199.80
  6. Step 6: Final answer
    x = 2,864.27

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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.