Home / 7,730.24-11,591.47-3,781.80

Finding the Fourth Proportional to 7,730.24, 11,591.47 and 3,781.80

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Solution

The fourth proportional to 7,730.24, 11,591.47 and 3,781.80 is: 5,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.24 : 11,591.47 = 3,781.80 : x
  2. Step 2: Convert to fraction form
    7,730.24/11,591.47 = 3,781.80/x
  3. Step 3: Cross multiply
    7,730.24x = 11,591.47 × 3,781.80
  4. Step 4: Simplify right side
    7,730.24x = 43,836,621.25
  5. Step 5: Solve for x
    x = 43,836,621.25/7,730.24
  6. Step 6: Final answer
    x = 5,670.80

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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.