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Finding the Fourth Proportional to 2,741.42, 3,783 and 1,562.48

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Solution

The fourth proportional to 2,741.42, 3,783 and 1,562.48 is: 2,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.42 : 3,783 = 1,562.48 : x
  2. Step 2: Convert to fraction form
    2,741.42/3,783 = 1,562.48/x
  3. Step 3: Cross multiply
    2,741.42x = 3,783 × 1,562.48
  4. Step 4: Simplify right side
    2,741.42x = 5,910,861.84
  5. Step 5: Solve for x
    x = 5,910,861.84/2,741.42
  6. Step 6: Final answer
    x = 2,156.13

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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.