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Finding the Fourth Proportional to 2,996.40, 4,489.80 and 1,898.80

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Solution

The fourth proportional to 2,996.40, 4,489.80 and 1,898.80 is: 2,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.40 : 4,489.80 = 1,898.80 : x
  2. Step 2: Convert to fraction form
    2,996.40/4,489.80 = 1,898.80/x
  3. Step 3: Cross multiply
    2,996.40x = 4,489.80 × 1,898.80
  4. Step 4: Simplify right side
    2,996.40x = 8,525,232.24
  5. Step 5: Solve for x
    x = 8,525,232.24/2,996.40
  6. Step 6: Final answer
    x = 2,845.16

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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.