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Finding the Fourth Proportional to 2,984.80, 4,118.16 and 2,039.80

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Solution

The fourth proportional to 2,984.80, 4,118.16 and 2,039.80 is: 2,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.80 : 4,118.16 = 2,039.80 : x
  2. Step 2: Convert to fraction form
    2,984.80/4,118.16 = 2,039.80/x
  3. Step 3: Cross multiply
    2,984.80x = 4,118.16 × 2,039.80
  4. Step 4: Simplify right side
    2,984.80x = 8,400,222.77
  5. Step 5: Solve for x
    x = 8,400,222.77/2,984.80
  6. Step 6: Final answer
    x = 2,814.33

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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.