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Finding the Fourth Proportional to 2,030.95, 3,046.44 and 860.80

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Solution

The fourth proportional to 2,030.95, 3,046.44 and 860.80 is: 1,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.95 : 3,046.44 = 860.80 : x
  2. Step 2: Convert to fraction form
    2,030.95/3,046.44 = 860.80/x
  3. Step 3: Cross multiply
    2,030.95x = 3,046.44 × 860.80
  4. Step 4: Simplify right side
    2,030.95x = 2,622,379.36
  5. Step 5: Solve for x
    x = 2,622,379.36/2,030.95
  6. Step 6: Final answer
    x = 1,291.21

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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.