Home / 20,971.53-31,462.74-7,824

Finding the Fourth Proportional to 20,971.53, 31,462.74 and 7,824

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Solution

The fourth proportional to 20,971.53, 31,462.74 and 7,824 is: 11,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.53 : 31,462.74 = 7,824 : x
  2. Step 2: Convert to fraction form
    20,971.53/31,462.74 = 7,824/x
  3. Step 3: Cross multiply
    20,971.53x = 31,462.74 × 7,824
  4. Step 4: Simplify right side
    20,971.53x = 246,164,477.76
  5. Step 5: Solve for x
    x = 246,164,477.76/20,971.53
  6. Step 6: Final answer
    x = 11,738.03

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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.