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Finding the Fourth Proportional to 5,205.29, 7,808.41 and 1,694.39

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Solution

The fourth proportional to 5,205.29, 7,808.41 and 1,694.39 is: 2,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.29 : 7,808.41 = 1,694.39 : x
  2. Step 2: Convert to fraction form
    5,205.29/7,808.41 = 1,694.39/x
  3. Step 3: Cross multiply
    5,205.29x = 7,808.41 × 1,694.39
  4. Step 4: Simplify right side
    5,205.29x = 13,230,491.82
  5. Step 5: Solve for x
    x = 13,230,491.82/5,205.29
  6. Step 6: Final answer
    x = 2,541.74

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1.5x scale

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.