Home / 7,829.80-11,715.24-5,494.36

Finding the Fourth Proportional to 7,829.80, 11,715.24 and 5,494.36

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Solution

The fourth proportional to 7,829.80, 11,715.24 and 5,494.36 is: 8,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.80 : 11,715.24 = 5,494.36 : x
  2. Step 2: Convert to fraction form
    7,829.80/11,715.24 = 5,494.36/x
  3. Step 3: Cross multiply
    7,829.80x = 11,715.24 × 5,494.36
  4. Step 4: Simplify right side
    7,829.80x = 64,367,746.05
  5. Step 5: Solve for x
    x = 64,367,746.05/7,829.80
  6. Step 6: Final answer
    x = 8,220.87

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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.