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Finding the Fourth Proportional to 2,898.94, 4,347.90 and 1,338.80

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Solution

The fourth proportional to 2,898.94, 4,347.90 and 1,338.80 is: 2,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.94 : 4,347.90 = 1,338.80 : x
  2. Step 2: Convert to fraction form
    2,898.94/4,347.90 = 1,338.80/x
  3. Step 3: Cross multiply
    2,898.94x = 4,347.90 × 1,338.80
  4. Step 4: Simplify right side
    2,898.94x = 5,820,979.39
  5. Step 5: Solve for x
    x = 5,820,979.39/2,898.94
  6. Step 6: Final answer
    x = 2,007.97

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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.