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Finding the Fourth Proportional to 7,601.98, 10,490.89 and 4,769.46

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Solution

The fourth proportional to 7,601.98, 10,490.89 and 4,769.46 is: 6,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.98 : 10,490.89 = 4,769.46 : x
  2. Step 2: Convert to fraction form
    7,601.98/10,490.89 = 4,769.46/x
  3. Step 3: Cross multiply
    7,601.98x = 10,490.89 × 4,769.46
  4. Step 4: Simplify right side
    7,601.98x = 50,035,880.22
  5. Step 5: Solve for x
    x = 50,035,880.22/7,601.98
  6. Step 6: Final answer
    x = 6,581.96

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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.