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Finding the Fourth Proportional to 2,970.72, 4,096.62 and 1,976.04

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Solution

The fourth proportional to 2,970.72, 4,096.62 and 1,976.04 is: 2,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.72 : 4,096.62 = 1,976.04 : x
  2. Step 2: Convert to fraction form
    2,970.72/4,096.62 = 1,976.04/x
  3. Step 3: Cross multiply
    2,970.72x = 4,096.62 × 1,976.04
  4. Step 4: Simplify right side
    2,970.72x = 8,095,084.98
  5. Step 5: Solve for x
    x = 8,095,084.98/2,970.72
  6. Step 6: Final answer
    x = 2,724.96

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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.