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Finding the Fourth Proportional to 1,986.32, 2,741.32 and 1,269

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Solution

The fourth proportional to 1,986.32, 2,741.32 and 1,269 is: 1,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.32 : 2,741.32 = 1,269 : x
  2. Step 2: Convert to fraction form
    1,986.32/2,741.32 = 1,269/x
  3. Step 3: Cross multiply
    1,986.32x = 2,741.32 × 1,269
  4. Step 4: Simplify right side
    1,986.32x = 3,478,735.08
  5. Step 5: Solve for x
    x = 3,478,735.08/1,986.32
  6. Step 6: Final answer
    x = 1,751.35

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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.