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Finding the Fourth Proportional to 1,923.50, 2,880.36 and 1,230.95

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Solution

The fourth proportional to 1,923.50, 2,880.36 and 1,230.95 is: 1,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.50 : 2,880.36 = 1,230.95 : x
  2. Step 2: Convert to fraction form
    1,923.50/2,880.36 = 1,230.95/x
  3. Step 3: Cross multiply
    1,923.50x = 2,880.36 × 1,230.95
  4. Step 4: Simplify right side
    1,923.50x = 3,545,564.74
  5. Step 5: Solve for x
    x = 3,545,564.74/1,923.50
  6. Step 6: Final answer
    x = 1,843.29

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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.