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Finding the Fourth Proportional to 2,174.31, 2,980.33 and 2,135.84

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Solution

The fourth proportional to 2,174.31, 2,980.33 and 2,135.84 is: 2,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.31 : 2,980.33 = 2,135.84 : x
  2. Step 2: Convert to fraction form
    2,174.31/2,980.33 = 2,135.84/x
  3. Step 3: Cross multiply
    2,174.31x = 2,980.33 × 2,135.84
  4. Step 4: Simplify right side
    2,174.31x = 6,365,487.79
  5. Step 5: Solve for x
    x = 6,365,487.79/2,174.31
  6. Step 6: Final answer
    x = 2,927.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.