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Finding the Fourth Proportional to 1,810.50, 2,498.49 and 982.50

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Solution

The fourth proportional to 1,810.50, 2,498.49 and 982.50 is: 1,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.50 : 2,498.49 = 982.50 : x
  2. Step 2: Convert to fraction form
    1,810.50/2,498.49 = 982.50/x
  3. Step 3: Cross multiply
    1,810.50x = 2,498.49 × 982.50
  4. Step 4: Simplify right side
    1,810.50x = 2,454,766.43
  5. Step 5: Solve for x
    x = 2,454,766.43/1,810.50
  6. Step 6: Final answer
    x = 1,355.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.