Home / 5,209.20-7,814.21-1,511.48

Finding the Fourth Proportional to 5,209.20, 7,814.21 and 1,511.48

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Solution

The fourth proportional to 5,209.20, 7,814.21 and 1,511.48 is: 2,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.20 : 7,814.21 = 1,511.48 : x
  2. Step 2: Convert to fraction form
    5,209.20/7,814.21 = 1,511.48/x
  3. Step 3: Cross multiply
    5,209.20x = 7,814.21 × 1,511.48
  4. Step 4: Simplify right side
    5,209.20x = 11,811,034.11
  5. Step 5: Solve for x
    x = 11,811,034.11/5,209.20
  6. Step 6: Final answer
    x = 2,267.34

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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.