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Finding the Fourth Proportional to 1,858.81, 2,793.00 and 1,400.91

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Solution

The fourth proportional to 1,858.81, 2,793.00 and 1,400.91 is: 2,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.81 : 2,793.00 = 1,400.91 : x
  2. Step 2: Convert to fraction form
    1,858.81/2,793.00 = 1,400.91/x
  3. Step 3: Cross multiply
    1,858.81x = 2,793.00 × 1,400.91
  4. Step 4: Simplify right side
    1,858.81x = 3,912,728.53
  5. Step 5: Solve for x
    x = 3,912,728.53/1,858.81
  6. Step 6: Final answer
    x = 2,104.96

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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.