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Finding the Fourth Proportional to 2,115.05, 2,919.79 and 1,408.07

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Solution

The fourth proportional to 2,115.05, 2,919.79 and 1,408.07 is: 1,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.05 : 2,919.79 = 1,408.07 : x
  2. Step 2: Convert to fraction form
    2,115.05/2,919.79 = 1,408.07/x
  3. Step 3: Cross multiply
    2,115.05x = 2,919.79 × 1,408.07
  4. Step 4: Simplify right side
    2,115.05x = 4,111,268.71
  5. Step 5: Solve for x
    x = 4,111,268.71/2,115.05
  6. Step 6: Final answer
    x = 1,943.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.