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Finding the Fourth Proportional to 2,638.63, 3,640.47 and 1,754.57

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Solution

The fourth proportional to 2,638.63, 3,640.47 and 1,754.57 is: 2,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.63 : 3,640.47 = 1,754.57 : x
  2. Step 2: Convert to fraction form
    2,638.63/3,640.47 = 1,754.57/x
  3. Step 3: Cross multiply
    2,638.63x = 3,640.47 × 1,754.57
  4. Step 4: Simplify right side
    2,638.63x = 6,387,459.45
  5. Step 5: Solve for x
    x = 6,387,459.45/2,638.63
  6. Step 6: Final answer
    x = 2,420.75

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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.