Home / 1,674.23-2,508.10-809.15

Finding the Fourth Proportional to 1,674.23, 2,508.10 and 809.15

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Solution

The fourth proportional to 1,674.23, 2,508.10 and 809.15 is: 1,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.23 : 2,508.10 = 809.15 : x
  2. Step 2: Convert to fraction form
    1,674.23/2,508.10 = 809.15/x
  3. Step 3: Cross multiply
    1,674.23x = 2,508.10 × 809.15
  4. Step 4: Simplify right side
    1,674.23x = 2,029,429.12
  5. Step 5: Solve for x
    x = 2,029,429.12/1,674.23
  6. Step 6: Final answer
    x = 1,212.16

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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.