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Finding the Fourth Proportional to 1,394.12, 1,926.42 and 929

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Solution

The fourth proportional to 1,394.12, 1,926.42 and 929 is: 1,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.12 : 1,926.42 = 929 : x
  2. Step 2: Convert to fraction form
    1,394.12/1,926.42 = 929/x
  3. Step 3: Cross multiply
    1,394.12x = 1,926.42 × 929
  4. Step 4: Simplify right side
    1,394.12x = 1,789,644.18
  5. Step 5: Solve for x
    x = 1,789,644.18/1,394.12
  6. Step 6: Final answer
    x = 1,283.71

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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.