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Finding the Fourth Proportional to 2,898.64, 3,998.64 and 1,849.60

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Solution

The fourth proportional to 2,898.64, 3,998.64 and 1,849.60 is: 2,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.64 : 3,998.64 = 1,849.60 : x
  2. Step 2: Convert to fraction form
    2,898.64/3,998.64 = 1,849.60/x
  3. Step 3: Cross multiply
    2,898.64x = 3,998.64 × 1,849.60
  4. Step 4: Simplify right side
    2,898.64x = 7,395,884.54
  5. Step 5: Solve for x
    x = 7,395,884.54/2,898.64
  6. Step 6: Final answer
    x = 2,551.50

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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.