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Finding the Fourth Proportional to 2,730.42, 4,095.21 and 998.64

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Solution

The fourth proportional to 2,730.42, 4,095.21 and 998.64 is: 1,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.42 : 4,095.21 = 998.64 : x
  2. Step 2: Convert to fraction form
    2,730.42/4,095.21 = 998.64/x
  3. Step 3: Cross multiply
    2,730.42x = 4,095.21 × 998.64
  4. Step 4: Simplify right side
    2,730.42x = 4,089,640.51
  5. Step 5: Solve for x
    x = 4,089,640.51/2,730.42
  6. Step 6: Final answer
    x = 1,497.81

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Why These Related Problems?

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