Home / 6,384-9,579.24-2,922.12

Finding the Fourth Proportional to 6,384, 9,579.24 and 2,922.12

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Solution

The fourth proportional to 6,384, 9,579.24 and 2,922.12 is: 4,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 9,579.24 = 2,922.12 : x
  2. Step 2: Convert to fraction form
    6,384/9,579.24 = 2,922.12/x
  3. Step 3: Cross multiply
    6,384x = 9,579.24 × 2,922.12
  4. Step 4: Simplify right side
    6,384x = 27,991,688.79
  5. Step 5: Solve for x
    x = 27,991,688.79/6,384
  6. Step 6: Final answer
    x = 4,384.66

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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.