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Finding the Fourth Proportional to 1,337.36, 1,991.93 and 1,268

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Solution

The fourth proportional to 1,337.36, 1,991.93 and 1,268 is: 1,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.36 : 1,991.93 = 1,268 : x
  2. Step 2: Convert to fraction form
    1,337.36/1,991.93 = 1,268/x
  3. Step 3: Cross multiply
    1,337.36x = 1,991.93 × 1,268
  4. Step 4: Simplify right side
    1,337.36x = 2,525,767.24
  5. Step 5: Solve for x
    x = 2,525,767.24/1,337.36
  6. Step 6: Final answer
    x = 1,888.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.