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Finding the Fourth Proportional to 2,998.06, 4,495.12 and 1,438.02

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Solution

The fourth proportional to 2,998.06, 4,495.12 and 1,438.02 is: 2,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.06 : 4,495.12 = 1,438.02 : x
  2. Step 2: Convert to fraction form
    2,998.06/4,495.12 = 1,438.02/x
  3. Step 3: Cross multiply
    2,998.06x = 4,495.12 × 1,438.02
  4. Step 4: Simplify right side
    2,998.06x = 6,464,072.46
  5. Step 5: Solve for x
    x = 6,464,072.46/2,998.06
  6. Step 6: Final answer
    x = 2,156.09

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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.