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Finding the Fourth Proportional to 1,998.41, 3,012.83 and 1,857.47

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Solution

The fourth proportional to 1,998.41, 3,012.83 and 1,857.47 is: 2,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.41 : 3,012.83 = 1,857.47 : x
  2. Step 2: Convert to fraction form
    1,998.41/3,012.83 = 1,857.47/x
  3. Step 3: Cross multiply
    1,998.41x = 3,012.83 × 1,857.47
  4. Step 4: Simplify right side
    1,998.41x = 5,596,223.95
  5. Step 5: Solve for x
    x = 5,596,223.95/1,998.41
  6. Step 6: Final answer
    x = 2,800.35

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Double scale
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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.