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Finding the Fourth Proportional to 2,028.98, 2,800.02 and 1,189.48

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Solution

The fourth proportional to 2,028.98, 2,800.02 and 1,189.48 is: 1,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.98 : 2,800.02 = 1,189.48 : x
  2. Step 2: Convert to fraction form
    2,028.98/2,800.02 = 1,189.48/x
  3. Step 3: Cross multiply
    2,028.98x = 2,800.02 × 1,189.48
  4. Step 4: Simplify right side
    2,028.98x = 3,330,567.79
  5. Step 5: Solve for x
    x = 3,330,567.79/2,028.98
  6. Step 6: Final answer
    x = 1,641.50

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1.5x scale

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.