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Finding the Fourth Proportional to 5,890.51, 8,129.19 and 3,653.56

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Solution

The fourth proportional to 5,890.51, 8,129.19 and 3,653.56 is: 5,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.51 : 8,129.19 = 3,653.56 : x
  2. Step 2: Convert to fraction form
    5,890.51/8,129.19 = 3,653.56/x
  3. Step 3: Cross multiply
    5,890.51x = 8,129.19 × 3,653.56
  4. Step 4: Simplify right side
    5,890.51x = 29,700,483.42
  5. Step 5: Solve for x
    x = 29,700,483.42/5,890.51
  6. Step 6: Final answer
    x = 5,042.09

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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.