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Finding the Fourth Proportional to 1,998.90, 3,013.30 and 1,865.10

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Solution

The fourth proportional to 1,998.90, 3,013.30 and 1,865.10 is: 2,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.90 : 3,013.30 = 1,865.10 : x
  2. Step 2: Convert to fraction form
    1,998.90/3,013.30 = 1,865.10/x
  3. Step 3: Cross multiply
    1,998.90x = 3,013.30 × 1,865.10
  4. Step 4: Simplify right side
    1,998.90x = 5,620,105.83
  5. Step 5: Solve for x
    x = 5,620,105.83/1,998.90
  6. Step 6: Final answer
    x = 2,811.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.