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Finding the Fourth Proportional to 5,126.42, 7,692.06 and 3,050.52

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Solution

The fourth proportional to 5,126.42, 7,692.06 and 3,050.52 is: 4,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.42 : 7,692.06 = 3,050.52 : x
  2. Step 2: Convert to fraction form
    5,126.42/7,692.06 = 3,050.52/x
  3. Step 3: Cross multiply
    5,126.42x = 7,692.06 × 3,050.52
  4. Step 4: Simplify right side
    5,126.42x = 23,464,782.87
  5. Step 5: Solve for x
    x = 23,464,782.87/5,126.42
  6. Step 6: Final answer
    x = 4,577.23

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