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Finding the Fourth Proportional to 2,912, 4,365.68 and 1,450.34

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Solution

The fourth proportional to 2,912, 4,365.68 and 1,450.34 is: 2,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912 : 4,365.68 = 1,450.34 : x
  2. Step 2: Convert to fraction form
    2,912/4,365.68 = 1,450.34/x
  3. Step 3: Cross multiply
    2,912x = 4,365.68 × 1,450.34
  4. Step 4: Simplify right side
    2,912x = 6,331,720.33
  5. Step 5: Solve for x
    x = 6,331,720.33/2,912
  6. Step 6: Final answer
    x = 2,174.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.