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Finding the Fourth Proportional to 2,643.71, 3,645.94 and 1,649.08

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Solution

The fourth proportional to 2,643.71, 3,645.94 and 1,649.08 is: 2,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.71 : 3,645.94 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    2,643.71/3,645.94 = 1,649.08/x
  3. Step 3: Cross multiply
    2,643.71x = 3,645.94 × 1,649.08
  4. Step 4: Simplify right side
    2,643.71x = 6,012,446.74
  5. Step 5: Solve for x
    x = 6,012,446.74/2,643.71
  6. Step 6: Final answer
    x = 2,274.25

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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.