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Finding the Fourth Proportional to 2,898.83, 3,998.49 and 1,904.96

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Solution

The fourth proportional to 2,898.83, 3,998.49 and 1,904.96 is: 2,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.83 : 3,998.49 = 1,904.96 : x
  2. Step 2: Convert to fraction form
    2,898.83/3,998.49 = 1,904.96/x
  3. Step 3: Cross multiply
    2,898.83x = 3,998.49 × 1,904.96
  4. Step 4: Simplify right side
    2,898.83x = 7,616,963.51
  5. Step 5: Solve for x
    x = 7,616,963.51/2,898.83
  6. Step 6: Final answer
    x = 2,627.60

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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.