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Finding the Fourth Proportional to 2,819.46, 3,891.06 and 1,700.67

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Solution

The fourth proportional to 2,819.46, 3,891.06 and 1,700.67 is: 2,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.46 : 3,891.06 = 1,700.67 : x
  2. Step 2: Convert to fraction form
    2,819.46/3,891.06 = 1,700.67/x
  3. Step 3: Cross multiply
    2,819.46x = 3,891.06 × 1,700.67
  4. Step 4: Simplify right side
    2,819.46x = 6,617,409.01
  5. Step 5: Solve for x
    x = 6,617,409.01/2,819.46
  6. Step 6: Final answer
    x = 2,347.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.