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Finding the Fourth Proportional to 6,490.89, 8,954.06 and 3,833.69

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Solution

The fourth proportional to 6,490.89, 8,954.06 and 3,833.69 is: 5,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.89 : 8,954.06 = 3,833.69 : x
  2. Step 2: Convert to fraction form
    6,490.89/8,954.06 = 3,833.69/x
  3. Step 3: Cross multiply
    6,490.89x = 8,954.06 × 3,833.69
  4. Step 4: Simplify right side
    6,490.89x = 34,327,026.34
  5. Step 5: Solve for x
    x = 34,327,026.34/6,490.89
  6. Step 6: Final answer
    x = 5,288.49

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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.