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Finding the Fourth Proportional to 1,583.78, 2,380.98 and 1,277.78

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Solution

The fourth proportional to 1,583.78, 2,380.98 and 1,277.78 is: 1,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.78 : 2,380.98 = 1,277.78 : x
  2. Step 2: Convert to fraction form
    1,583.78/2,380.98 = 1,277.78/x
  3. Step 3: Cross multiply
    1,583.78x = 2,380.98 × 1,277.78
  4. Step 4: Simplify right side
    1,583.78x = 3,042,368.62
  5. Step 5: Solve for x
    x = 3,042,368.62/1,583.78
  6. Step 6: Final answer
    x = 1,920.95

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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.