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Finding the Fourth Proportional to 1,409.49, 1,943.86 and 911.64

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Solution

The fourth proportional to 1,409.49, 1,943.86 and 911.64 is: 1,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.49 : 1,943.86 = 911.64 : x
  2. Step 2: Convert to fraction form
    1,409.49/1,943.86 = 911.64/x
  3. Step 3: Cross multiply
    1,409.49x = 1,943.86 × 911.64
  4. Step 4: Simplify right side
    1,409.49x = 1,772,100.53
  5. Step 5: Solve for x
    x = 1,772,100.53/1,409.49
  6. Step 6: Final answer
    x = 1,257.26

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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.