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Finding the Fourth Proportional to 2,978.12, 4,110 and 2,045

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Solution

The fourth proportional to 2,978.12, 4,110 and 2,045 is: 2,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.12 : 4,110 = 2,045 : x
  2. Step 2: Convert to fraction form
    2,978.12/4,110 = 2,045/x
  3. Step 3: Cross multiply
    2,978.12x = 4,110 × 2,045
  4. Step 4: Simplify right side
    2,978.12x = 8,404,950
  5. Step 5: Solve for x
    x = 8,404,950/2,978.12
  6. Step 6: Final answer
    x = 2,822.23

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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.