Home / 7,743.69-11,621.16-2,813.76

Finding the Fourth Proportional to 7,743.69, 11,621.16 and 2,813.76

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Solution

The fourth proportional to 7,743.69, 11,621.16 and 2,813.76 is: 4,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.69 : 11,621.16 = 2,813.76 : x
  2. Step 2: Convert to fraction form
    7,743.69/11,621.16 = 2,813.76/x
  3. Step 3: Cross multiply
    7,743.69x = 11,621.16 × 2,813.76
  4. Step 4: Simplify right side
    7,743.69x = 32,699,155.16
  5. Step 5: Solve for x
    x = 32,699,155.16/7,743.69
  6. Step 6: Final answer
    x = 4,222.68

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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.