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Finding the Fourth Proportional to 5,965.85, 8,235.95 and 4,205.31

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Solution

The fourth proportional to 5,965.85, 8,235.95 and 4,205.31 is: 5,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.85 : 8,235.95 = 4,205.31 : x
  2. Step 2: Convert to fraction form
    5,965.85/8,235.95 = 4,205.31/x
  3. Step 3: Cross multiply
    5,965.85x = 8,235.95 × 4,205.31
  4. Step 4: Simplify right side
    5,965.85x = 34,634,733.41
  5. Step 5: Solve for x
    x = 34,634,733.41/5,965.85
  6. Step 6: Final answer
    x = 5,805.50

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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.