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Finding the Fourth Proportional to 2,884.11, 3,978.68 and 1,888.95

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Solution

The fourth proportional to 2,884.11, 3,978.68 and 1,888.95 is: 2,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.11 : 3,978.68 = 1,888.95 : x
  2. Step 2: Convert to fraction form
    2,884.11/3,978.68 = 1,888.95/x
  3. Step 3: Cross multiply
    2,884.11x = 3,978.68 × 1,888.95
  4. Step 4: Simplify right side
    2,884.11x = 7,515,527.59
  5. Step 5: Solve for x
    x = 7,515,527.59/2,884.11
  6. Step 6: Final answer
    x = 2,605.84

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Why These Related Problems?

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