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Finding the Fourth Proportional to 6,490.50, 8,956.89 and 3,546.50

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Solution

The fourth proportional to 6,490.50, 8,956.89 and 3,546.50 is: 4,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.50 : 8,956.89 = 3,546.50 : x
  2. Step 2: Convert to fraction form
    6,490.50/8,956.89 = 3,546.50/x
  3. Step 3: Cross multiply
    6,490.50x = 8,956.89 × 3,546.50
  4. Step 4: Simplify right side
    6,490.50x = 31,765,610.39
  5. Step 5: Solve for x
    x = 31,765,610.39/6,490.50
  6. Step 6: Final answer
    x = 4,894.17

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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.