Home / 1,429.20-1,972.62-930.97

Finding the Fourth Proportional to 1,429.20, 1,972.62 and 930.97

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Solution

The fourth proportional to 1,429.20, 1,972.62 and 930.97 is: 1,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.20 : 1,972.62 = 930.97 : x
  2. Step 2: Convert to fraction form
    1,429.20/1,972.62 = 930.97/x
  3. Step 3: Cross multiply
    1,429.20x = 1,972.62 × 930.97
  4. Step 4: Simplify right side
    1,429.20x = 1,836,445.11
  5. Step 5: Solve for x
    x = 1,836,445.11/1,429.20
  6. Step 6: Final answer
    x = 1,284.95

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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.