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Finding the Fourth Proportional to 5,198.13, 7,800.71 and 1,913.85

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Solution

The fourth proportional to 5,198.13, 7,800.71 and 1,913.85 is: 2,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.13 : 7,800.71 = 1,913.85 : x
  2. Step 2: Convert to fraction form
    5,198.13/7,800.71 = 1,913.85/x
  3. Step 3: Cross multiply
    5,198.13x = 7,800.71 × 1,913.85
  4. Step 4: Simplify right side
    5,198.13x = 14,929,379.26
  5. Step 5: Solve for x
    x = 14,929,379.26/5,198.13
  6. Step 6: Final answer
    x = 2,872.07

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1.5x scale

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.