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Finding the Fourth Proportional to 2,998.05, 4,495.12 and 1,438.01

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Solution

The fourth proportional to 2,998.05, 4,495.12 and 1,438.01 is: 2,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.05 : 4,495.12 = 1,438.01 : x
  2. Step 2: Convert to fraction form
    2,998.05/4,495.12 = 1,438.01/x
  3. Step 3: Cross multiply
    2,998.05x = 4,495.12 × 1,438.01
  4. Step 4: Simplify right side
    2,998.05x = 6,464,027.51
  5. Step 5: Solve for x
    x = 6,464,027.51/2,998.05
  6. Step 6: Final answer
    x = 2,156.08

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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.