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Finding the Fourth Proportional to 1,622, 2,434.62 and 854.12

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Solution

The fourth proportional to 1,622, 2,434.62 and 854.12 is: 1,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622 : 2,434.62 = 854.12 : x
  2. Step 2: Convert to fraction form
    1,622/2,434.62 = 854.12/x
  3. Step 3: Cross multiply
    1,622x = 2,434.62 × 854.12
  4. Step 4: Simplify right side
    1,622x = 2,079,457.63
  5. Step 5: Solve for x
    x = 2,079,457.63/1,622
  6. Step 6: Final answer
    x = 1,282.03

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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.