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Finding the Fourth Proportional to 5,817.85, 8,026.65 and 3,830.42

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Solution

The fourth proportional to 5,817.85, 8,026.65 and 3,830.42 is: 5,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.85 : 8,026.65 = 3,830.42 : x
  2. Step 2: Convert to fraction form
    5,817.85/8,026.65 = 3,830.42/x
  3. Step 3: Cross multiply
    5,817.85x = 8,026.65 × 3,830.42
  4. Step 4: Simplify right side
    5,817.85x = 30,745,460.76
  5. Step 5: Solve for x
    x = 30,745,460.76/5,817.85
  6. Step 6: Final answer
    x = 5,284.68

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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.