Home / 10,822-16,221.36-4,580.56

Finding the Fourth Proportional to 10,822, 16,221.36 and 4,580.56

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Solution

The fourth proportional to 10,822, 16,221.36 and 4,580.56 is: 6,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822 : 16,221.36 = 4,580.56 : x
  2. Step 2: Convert to fraction form
    10,822/16,221.36 = 4,580.56/x
  3. Step 3: Cross multiply
    10,822x = 16,221.36 × 4,580.56
  4. Step 4: Simplify right side
    10,822x = 74,302,912.76
  5. Step 5: Solve for x
    x = 74,302,912.76/10,822
  6. Step 6: Final answer
    x = 6,865.91

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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.