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Finding the Fourth Proportional to 5,863.78, 8,089.50 and 3,505.42

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Solution

The fourth proportional to 5,863.78, 8,089.50 and 3,505.42 is: 4,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.78 : 8,089.50 = 3,505.42 : x
  2. Step 2: Convert to fraction form
    5,863.78/8,089.50 = 3,505.42/x
  3. Step 3: Cross multiply
    5,863.78x = 8,089.50 × 3,505.42
  4. Step 4: Simplify right side
    5,863.78x = 28,357,095.09
  5. Step 5: Solve for x
    x = 28,357,095.09/5,863.78
  6. Step 6: Final answer
    x = 4,835.98

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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.