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Finding the Fourth Proportional to 2,805.63, 3,871.76 and 1,626.77

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Solution

The fourth proportional to 2,805.63, 3,871.76 and 1,626.77 is: 2,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.63 : 3,871.76 = 1,626.77 : x
  2. Step 2: Convert to fraction form
    2,805.63/3,871.76 = 1,626.77/x
  3. Step 3: Cross multiply
    2,805.63x = 3,871.76 × 1,626.77
  4. Step 4: Simplify right side
    2,805.63x = 6,298,463.02
  5. Step 5: Solve for x
    x = 6,298,463.02/2,805.63
  6. Step 6: Final answer
    x = 2,244.94

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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.