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Finding the Fourth Proportional to 2,451.99, 3,678.43 and 808.60

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Solution

The fourth proportional to 2,451.99, 3,678.43 and 808.60 is: 1,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.99 : 3,678.43 = 808.60 : x
  2. Step 2: Convert to fraction form
    2,451.99/3,678.43 = 808.60/x
  3. Step 3: Cross multiply
    2,451.99x = 3,678.43 × 808.60
  4. Step 4: Simplify right side
    2,451.99x = 2,974,378.50
  5. Step 5: Solve for x
    x = 2,974,378.50/2,451.99
  6. Step 6: Final answer
    x = 1,213.05

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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.