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Finding the Fourth Proportional to 5,897.85, 8,138.92 and 3,245.30

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Solution

The fourth proportional to 5,897.85, 8,138.92 and 3,245.30 is: 4,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.85 : 8,138.92 = 3,245.30 : x
  2. Step 2: Convert to fraction form
    5,897.85/8,138.92 = 3,245.30/x
  3. Step 3: Cross multiply
    5,897.85x = 8,138.92 × 3,245.30
  4. Step 4: Simplify right side
    5,897.85x = 26,413,237.08
  5. Step 5: Solve for x
    x = 26,413,237.08/5,897.85
  6. Step 6: Final answer
    x = 4,478.45

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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.