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Finding the Fourth Proportional to 2,892.48, 4,338.48 and 1,919.28

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Solution

The fourth proportional to 2,892.48, 4,338.48 and 1,919.28 is: 2,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.48 : 4,338.48 = 1,919.28 : x
  2. Step 2: Convert to fraction form
    2,892.48/4,338.48 = 1,919.28/x
  3. Step 3: Cross multiply
    2,892.48x = 4,338.48 × 1,919.28
  4. Step 4: Simplify right side
    2,892.48x = 8,326,757.89
  5. Step 5: Solve for x
    x = 8,326,757.89/2,892.48
  6. Step 6: Final answer
    x = 2,878.76

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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.