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Finding the Fourth Proportional to 3,642.57, 5,026.74 and 1,986.57

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Solution

The fourth proportional to 3,642.57, 5,026.74 and 1,986.57 is: 2,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.57 : 5,026.74 = 1,986.57 : x
  2. Step 2: Convert to fraction form
    3,642.57/5,026.74 = 1,986.57/x
  3. Step 3: Cross multiply
    3,642.57x = 5,026.74 × 1,986.57
  4. Step 4: Simplify right side
    3,642.57x = 9,985,970.88
  5. Step 5: Solve for x
    x = 9,985,970.88/3,642.57
  6. Step 6: Final answer
    x = 2,741.46

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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.