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Finding the Fourth Proportional to 2,698.43, 3,720.74 and 1,740.06

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Solution

The fourth proportional to 2,698.43, 3,720.74 and 1,740.06 is: 2,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.43 : 3,720.74 = 1,740.06 : x
  2. Step 2: Convert to fraction form
    2,698.43/3,720.74 = 1,740.06/x
  3. Step 3: Cross multiply
    2,698.43x = 3,720.74 × 1,740.06
  4. Step 4: Simplify right side
    2,698.43x = 6,474,302.14
  5. Step 5: Solve for x
    x = 6,474,302.14/2,698.43
  6. Step 6: Final answer
    x = 2,399.29

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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.