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Finding the Fourth Proportional to 3,871.70, 5,809.35 and 2,024.90

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Solution

The fourth proportional to 3,871.70, 5,809.35 and 2,024.90 is: 3,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.70 : 5,809.35 = 2,024.90 : x
  2. Step 2: Convert to fraction form
    3,871.70/5,809.35 = 2,024.90/x
  3. Step 3: Cross multiply
    3,871.70x = 5,809.35 × 2,024.90
  4. Step 4: Simplify right side
    3,871.70x = 11,763,352.82
  5. Step 5: Solve for x
    x = 11,763,352.82/3,871.70
  6. Step 6: Final answer
    x = 3,038.29

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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.