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Finding the Fourth Proportional to 2,681.83, 3,701.35 and 1,563.42

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Solution

The fourth proportional to 2,681.83, 3,701.35 and 1,563.42 is: 2,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.83 : 3,701.35 = 1,563.42 : x
  2. Step 2: Convert to fraction form
    2,681.83/3,701.35 = 1,563.42/x
  3. Step 3: Cross multiply
    2,681.83x = 3,701.35 × 1,563.42
  4. Step 4: Simplify right side
    2,681.83x = 5,786,766.57
  5. Step 5: Solve for x
    x = 5,786,766.57/2,681.83
  6. Step 6: Final answer
    x = 2,157.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.