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Finding the Fourth Proportional to 5,207.80, 7,811.49 and 1,919.47

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Solution

The fourth proportional to 5,207.80, 7,811.49 and 1,919.47 is: 2,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.80 : 7,811.49 = 1,919.47 : x
  2. Step 2: Convert to fraction form
    5,207.80/7,811.49 = 1,919.47/x
  3. Step 3: Cross multiply
    5,207.80x = 7,811.49 × 1,919.47
  4. Step 4: Simplify right side
    5,207.80x = 14,993,881.65
  5. Step 5: Solve for x
    x = 14,993,881.65/5,207.80
  6. Step 6: Final answer
    x = 2,879.12

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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.