Home / 20,980.24-31,455.78-7,829.08

Finding the Fourth Proportional to 20,980.24, 31,455.78 and 7,829.08

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Solution

The fourth proportional to 20,980.24, 31,455.78 and 7,829.08 is: 11,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.24 : 31,455.78 = 7,829.08 : x
  2. Step 2: Convert to fraction form
    20,980.24/31,455.78 = 7,829.08/x
  3. Step 3: Cross multiply
    20,980.24x = 31,455.78 × 7,829.08
  4. Step 4: Simplify right side
    20,980.24x = 246,269,818.08
  5. Step 5: Solve for x
    x = 246,269,818.08/20,980.24
  6. Step 6: Final answer
    x = 11,738.18

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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.