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Finding the Fourth Proportional to 2,645.78, 3,970.04 and 1,347.26

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Solution

The fourth proportional to 2,645.78, 3,970.04 and 1,347.26 is: 2,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.78 : 3,970.04 = 1,347.26 : x
  2. Step 2: Convert to fraction form
    2,645.78/3,970.04 = 1,347.26/x
  3. Step 3: Cross multiply
    2,645.78x = 3,970.04 × 1,347.26
  4. Step 4: Simplify right side
    2,645.78x = 5,348,676.09
  5. Step 5: Solve for x
    x = 5,348,676.09/2,645.78
  6. Step 6: Final answer
    x = 2,021.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.