Home / 7,220.10-10,829.24-2,289.78

Finding the Fourth Proportional to 7,220.10, 10,829.24 and 2,289.78

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Solution

The fourth proportional to 7,220.10, 10,829.24 and 2,289.78 is: 3,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.10 : 10,829.24 = 2,289.78 : x
  2. Step 2: Convert to fraction form
    7,220.10/10,829.24 = 2,289.78/x
  3. Step 3: Cross multiply
    7,220.10x = 10,829.24 × 2,289.78
  4. Step 4: Simplify right side
    7,220.10x = 24,796,565.72
  5. Step 5: Solve for x
    x = 24,796,565.72/7,220.10
  6. Step 6: Final answer
    x = 3,434.38

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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.