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Finding the Fourth Proportional to 1,928.84, 2,891.82 and 954.44

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Solution

The fourth proportional to 1,928.84, 2,891.82 and 954.44 is: 1,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.84 : 2,891.82 = 954.44 : x
  2. Step 2: Convert to fraction form
    1,928.84/2,891.82 = 954.44/x
  3. Step 3: Cross multiply
    1,928.84x = 2,891.82 × 954.44
  4. Step 4: Simplify right side
    1,928.84x = 2,760,068.68
  5. Step 5: Solve for x
    x = 2,760,068.68/1,928.84
  6. Step 6: Final answer
    x = 1,430.95

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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.