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Finding the Fourth Proportional to 2,998.97, 4,498.50 and 919.00

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Solution

The fourth proportional to 2,998.97, 4,498.50 and 919.00 is: 1,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.97 : 4,498.50 = 919.00 : x
  2. Step 2: Convert to fraction form
    2,998.97/4,498.50 = 919.00/x
  3. Step 3: Cross multiply
    2,998.97x = 4,498.50 × 919.00
  4. Step 4: Simplify right side
    2,998.97x = 4,134,094.41
  5. Step 5: Solve for x
    x = 4,134,094.41/2,998.97
  6. Step 6: Final answer
    x = 1,378.51

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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.