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Finding the Fourth Proportional to 2,678.60, 4,017.92 and 730.80

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Solution

The fourth proportional to 2,678.60, 4,017.92 and 730.80 is: 1,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.60 : 4,017.92 = 730.80 : x
  2. Step 2: Convert to fraction form
    2,678.60/4,017.92 = 730.80/x
  3. Step 3: Cross multiply
    2,678.60x = 4,017.92 × 730.80
  4. Step 4: Simplify right side
    2,678.60x = 2,936,297.76
  5. Step 5: Solve for x
    x = 2,936,297.76/2,678.60
  6. Step 6: Final answer
    x = 1,096.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.