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Finding the Fourth Proportional to 2,681.78, 3,696.42 and 1,797.26

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Solution

The fourth proportional to 2,681.78, 3,696.42 and 1,797.26 is: 2,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.78 : 3,696.42 = 1,797.26 : x
  2. Step 2: Convert to fraction form
    2,681.78/3,696.42 = 1,797.26/x
  3. Step 3: Cross multiply
    2,681.78x = 3,696.42 × 1,797.26
  4. Step 4: Simplify right side
    2,681.78x = 6,643,427.81
  5. Step 5: Solve for x
    x = 6,643,427.81/2,681.78
  6. Step 6: Final answer
    x = 2,477.25

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1.5x scale

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.