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Finding the Fourth Proportional to 1,726.49, 2,382.54 and 940.53

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Solution

The fourth proportional to 1,726.49, 2,382.54 and 940.53 is: 1,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.49 : 2,382.54 = 940.53 : x
  2. Step 2: Convert to fraction form
    1,726.49/2,382.54 = 940.53/x
  3. Step 3: Cross multiply
    1,726.49x = 2,382.54 × 940.53
  4. Step 4: Simplify right side
    1,726.49x = 2,240,850.35
  5. Step 5: Solve for x
    x = 2,240,850.35/1,726.49
  6. Step 6: Final answer
    x = 1,297.93

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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.