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Finding the Fourth Proportional to 2,643, 3,647.39 and 1,523.75

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Solution

The fourth proportional to 2,643, 3,647.39 and 1,523.75 is: 2,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 3,647.39 = 1,523.75 : x
  2. Step 2: Convert to fraction form
    2,643/3,647.39 = 1,523.75/x
  3. Step 3: Cross multiply
    2,643x = 3,647.39 × 1,523.75
  4. Step 4: Simplify right side
    2,643x = 5,557,710.51
  5. Step 5: Solve for x
    x = 5,557,710.51/2,643
  6. Step 6: Final answer
    x = 2,102.80

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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.