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Finding the Fourth Proportional to 1,282.09, 1,925.31 and 838.09

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Solution

The fourth proportional to 1,282.09, 1,925.31 and 838.09 is: 1,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.09 : 1,925.31 = 838.09 : x
  2. Step 2: Convert to fraction form
    1,282.09/1,925.31 = 838.09/x
  3. Step 3: Cross multiply
    1,282.09x = 1,925.31 × 838.09
  4. Step 4: Simplify right side
    1,282.09x = 1,613,583.06
  5. Step 5: Solve for x
    x = 1,613,583.06/1,282.09
  6. Step 6: Final answer
    x = 1,258.56

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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.