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Finding the Fourth Proportional to 5,209.88, 7,810.30 and 4,919.92

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Solution

The fourth proportional to 5,209.88, 7,810.30 and 4,919.92 is: 7,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.88 : 7,810.30 = 4,919.92 : x
  2. Step 2: Convert to fraction form
    5,209.88/7,810.30 = 4,919.92/x
  3. Step 3: Cross multiply
    5,209.88x = 7,810.30 × 4,919.92
  4. Step 4: Simplify right side
    5,209.88x = 38,426,051.18
  5. Step 5: Solve for x
    x = 38,426,051.18/5,209.88
  6. Step 6: Final answer
    x = 7,375.61

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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.