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Finding the Fourth Proportional to 1,424.12, 1,964.95 and 834.37

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Solution

The fourth proportional to 1,424.12, 1,964.95 and 834.37 is: 1,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.12 : 1,964.95 = 834.37 : x
  2. Step 2: Convert to fraction form
    1,424.12/1,964.95 = 834.37/x
  3. Step 3: Cross multiply
    1,424.12x = 1,964.95 × 834.37
  4. Step 4: Simplify right side
    1,424.12x = 1,639,495.33
  5. Step 5: Solve for x
    x = 1,639,495.33/1,424.12
  6. Step 6: Final answer
    x = 1,151.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.