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Finding the Fourth Proportional to 3,642.26, 5,026.30 and 1,986.26

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Solution

The fourth proportional to 3,642.26, 5,026.30 and 1,986.26 is: 2,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.26 : 5,026.30 = 1,986.26 : x
  2. Step 2: Convert to fraction form
    3,642.26/5,026.30 = 1,986.26/x
  3. Step 3: Cross multiply
    3,642.26x = 5,026.30 × 1,986.26
  4. Step 4: Simplify right side
    3,642.26x = 9,983,538.64
  5. Step 5: Solve for x
    x = 9,983,538.64/3,642.26
  6. Step 6: Final answer
    x = 2,741.03

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1.5x scale

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.