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Finding the Fourth Proportional to 2,937.93, 4,409.79 and 1,998

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Solution

The fourth proportional to 2,937.93, 4,409.79 and 1,998 is: 2,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.93 : 4,409.79 = 1,998 : x
  2. Step 2: Convert to fraction form
    2,937.93/4,409.79 = 1,998/x
  3. Step 3: Cross multiply
    2,937.93x = 4,409.79 × 1,998
  4. Step 4: Simplify right side
    2,937.93x = 8,810,760.42
  5. Step 5: Solve for x
    x = 8,810,760.42/2,937.93
  6. Step 6: Final answer
    x = 2,998.97

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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.