Home / 3,213-4,819.50-1,021.82

Finding the Fourth Proportional to 3,213, 4,819.50 and 1,021.82

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Solution

The fourth proportional to 3,213, 4,819.50 and 1,021.82 is: 1,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,819.50 = 1,021.82 : x
  2. Step 2: Convert to fraction form
    3,213/4,819.50 = 1,021.82/x
  3. Step 3: Cross multiply
    3,213x = 4,819.50 × 1,021.82
  4. Step 4: Simplify right side
    3,213x = 4,924,637.39
  5. Step 5: Solve for x
    x = 4,924,637.39/3,213
  6. Step 6: Final answer
    x = 1,532.72

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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.