Home / 2,453.02-3,678.78-809.14

Finding the Fourth Proportional to 2,453.02, 3,678.78 and 809.14

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Solution

The fourth proportional to 2,453.02, 3,678.78 and 809.14 is: 1,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.02 : 3,678.78 = 809.14 : x
  2. Step 2: Convert to fraction form
    2,453.02/3,678.78 = 809.14/x
  3. Step 3: Cross multiply
    2,453.02x = 3,678.78 × 809.14
  4. Step 4: Simplify right side
    2,453.02x = 2,976,648.05
  5. Step 5: Solve for x
    x = 2,976,648.05/2,453.02
  6. Step 6: Final answer
    x = 1,213.46

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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.