Home / 10,814-16,222.04-4,972.24

Finding the Fourth Proportional to 10,814, 16,222.04 and 4,972.24

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Solution

The fourth proportional to 10,814, 16,222.04 and 4,972.24 is: 7,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814 : 16,222.04 = 4,972.24 : x
  2. Step 2: Convert to fraction form
    10,814/16,222.04 = 4,972.24/x
  3. Step 3: Cross multiply
    10,814x = 16,222.04 × 4,972.24
  4. Step 4: Simplify right side
    10,814x = 80,659,876.17
  5. Step 5: Solve for x
    x = 80,659,876.17/10,814
  6. Step 6: Final answer
    x = 7,458.84

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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.