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Finding the Fourth Proportional to 5,208.91, 7,807.89 and 1,919.90

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Solution

The fourth proportional to 5,208.91, 7,807.89 and 1,919.90 is: 2,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.91 : 7,807.89 = 1,919.90 : x
  2. Step 2: Convert to fraction form
    5,208.91/7,807.89 = 1,919.90/x
  3. Step 3: Cross multiply
    5,208.91x = 7,807.89 × 1,919.90
  4. Step 4: Simplify right side
    5,208.91x = 14,990,368.01
  5. Step 5: Solve for x
    x = 14,990,368.01/5,208.91
  6. Step 6: Final answer
    x = 2,877.83

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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.