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Finding the Fourth Proportional to 3,881.55, 5,822.37 and 1,690.19

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Solution

The fourth proportional to 3,881.55, 5,822.37 and 1,690.19 is: 2,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.55 : 5,822.37 = 1,690.19 : x
  2. Step 2: Convert to fraction form
    3,881.55/5,822.37 = 1,690.19/x
  3. Step 3: Cross multiply
    3,881.55x = 5,822.37 × 1,690.19
  4. Step 4: Simplify right side
    3,881.55x = 9,840,916.72
  5. Step 5: Solve for x
    x = 9,840,916.72/3,881.55
  6. Step 6: Final answer
    x = 2,535.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.