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Finding the Fourth Proportional to 7,213, 10,819.50 and 2,019.10

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Solution

The fourth proportional to 7,213, 10,819.50 and 2,019.10 is: 3,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213 : 10,819.50 = 2,019.10 : x
  2. Step 2: Convert to fraction form
    7,213/10,819.50 = 2,019.10/x
  3. Step 3: Cross multiply
    7,213x = 10,819.50 × 2,019.10
  4. Step 4: Simplify right side
    7,213x = 21,845,652.45
  5. Step 5: Solve for x
    x = 21,845,652.45/7,213
  6. Step 6: Final answer
    x = 3,028.65

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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.