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Finding the Fourth Proportional to 7,205.02, 10,807.51 and 2,819.40

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Solution

The fourth proportional to 7,205.02, 10,807.51 and 2,819.40 is: 4,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.02 : 10,807.51 = 2,819.40 : x
  2. Step 2: Convert to fraction form
    7,205.02/10,807.51 = 2,819.40/x
  3. Step 3: Cross multiply
    7,205.02x = 10,807.51 × 2,819.40
  4. Step 4: Simplify right side
    7,205.02x = 30,470,693.69
  5. Step 5: Solve for x
    x = 30,470,693.69/7,205.02
  6. Step 6: Final answer
    x = 4,229.09

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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.