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Finding the Fourth Proportional to 2,644.74, 3,642.36 and 2,045.01

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Solution

The fourth proportional to 2,644.74, 3,642.36 and 2,045.01 is: 2,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.74 : 3,642.36 = 2,045.01 : x
  2. Step 2: Convert to fraction form
    2,644.74/3,642.36 = 2,045.01/x
  3. Step 3: Cross multiply
    2,644.74x = 3,642.36 × 2,045.01
  4. Step 4: Simplify right side
    2,644.74x = 7,448,662.62
  5. Step 5: Solve for x
    x = 7,448,662.62/2,644.74
  6. Step 6: Final answer
    x = 2,816.41

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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.