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Finding the Fourth Proportional to 1,384.97, 1,911.74 and 1,237.34

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Solution

The fourth proportional to 1,384.97, 1,911.74 and 1,237.34 is: 1,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.97 : 1,911.74 = 1,237.34 : x
  2. Step 2: Convert to fraction form
    1,384.97/1,911.74 = 1,237.34/x
  3. Step 3: Cross multiply
    1,384.97x = 1,911.74 × 1,237.34
  4. Step 4: Simplify right side
    1,384.97x = 2,365,470.96
  5. Step 5: Solve for x
    x = 2,365,470.96/1,384.97
  6. Step 6: Final answer
    x = 1,707.96

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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.