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Finding the Fourth Proportional to 2,000.41, 2,980.50 and 1,888.63

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Solution

The fourth proportional to 2,000.41, 2,980.50 and 1,888.63 is: 2,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.41 : 2,980.50 = 1,888.63 : x
  2. Step 2: Convert to fraction form
    2,000.41/2,980.50 = 1,888.63/x
  3. Step 3: Cross multiply
    2,000.41x = 2,980.50 × 1,888.63
  4. Step 4: Simplify right side
    2,000.41x = 5,629,037.37
  5. Step 5: Solve for x
    x = 5,629,037.37/2,000.41
  6. Step 6: Final answer
    x = 2,813.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.