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Finding the Fourth Proportional to 1,986.53, 2,741.74 and 1,102.62

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Solution

The fourth proportional to 1,986.53, 2,741.74 and 1,102.62 is: 1,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.53 : 2,741.74 = 1,102.62 : x
  2. Step 2: Convert to fraction form
    1,986.53/2,741.74 = 1,102.62/x
  3. Step 3: Cross multiply
    1,986.53x = 2,741.74 × 1,102.62
  4. Step 4: Simplify right side
    1,986.53x = 3,023,097.36
  5. Step 5: Solve for x
    x = 3,023,097.36/1,986.53
  6. Step 6: Final answer
    x = 1,521.80

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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.