Home / 20,871.52-31,311.68-7,724

Finding the Fourth Proportional to 20,871.52, 31,311.68 and 7,724

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Solution

The fourth proportional to 20,871.52, 31,311.68 and 7,724 is: 11,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.52 : 31,311.68 = 7,724 : x
  2. Step 2: Convert to fraction form
    20,871.52/31,311.68 = 7,724/x
  3. Step 3: Cross multiply
    20,871.52x = 31,311.68 × 7,724
  4. Step 4: Simplify right side
    20,871.52x = 241,851,416.32
  5. Step 5: Solve for x
    x = 241,851,416.32/20,871.52
  6. Step 6: Final answer
    x = 11,587.63

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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.