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Finding the Fourth Proportional to 1,550.78, 2,141.08 and 1,384.72

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Solution

The fourth proportional to 1,550.78, 2,141.08 and 1,384.72 is: 1,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.78 : 2,141.08 = 1,384.72 : x
  2. Step 2: Convert to fraction form
    1,550.78/2,141.08 = 1,384.72/x
  3. Step 3: Cross multiply
    1,550.78x = 2,141.08 × 1,384.72
  4. Step 4: Simplify right side
    1,550.78x = 2,964,796.30
  5. Step 5: Solve for x
    x = 2,964,796.30/1,550.78
  6. Step 6: Final answer
    x = 1,911.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.