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Finding the Fourth Proportional to 2,643.93, 3,645.18 and 1,698.03

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Solution

The fourth proportional to 2,643.93, 3,645.18 and 1,698.03 is: 2,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.93 : 3,645.18 = 1,698.03 : x
  2. Step 2: Convert to fraction form
    2,643.93/3,645.18 = 1,698.03/x
  3. Step 3: Cross multiply
    2,643.93x = 3,645.18 × 1,698.03
  4. Step 4: Simplify right side
    2,643.93x = 6,189,625.00
  5. Step 5: Solve for x
    x = 6,189,625.00/2,643.93
  6. Step 6: Final answer
    x = 2,341.07

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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.