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Finding the Fourth Proportional to 3,825, 5,737.50 and 1,051.56

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Solution

The fourth proportional to 3,825, 5,737.50 and 1,051.56 is: 1,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,737.50 = 1,051.56 : x
  2. Step 2: Convert to fraction form
    3,825/5,737.50 = 1,051.56/x
  3. Step 3: Cross multiply
    3,825x = 5,737.50 × 1,051.56
  4. Step 4: Simplify right side
    3,825x = 6,033,325.50
  5. Step 5: Solve for x
    x = 6,033,325.50/3,825
  6. Step 6: Final answer
    x = 1,577.34

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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.