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Finding the Fourth Proportional to 2,914, 4,021.32 and 1,672

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Solution

The fourth proportional to 2,914, 4,021.32 and 1,672 is: 2,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,021.32 = 1,672 : x
  2. Step 2: Convert to fraction form
    2,914/4,021.32 = 1,672/x
  3. Step 3: Cross multiply
    2,914x = 4,021.32 × 1,672
  4. Step 4: Simplify right side
    2,914x = 6,723,647.04
  5. Step 5: Solve for x
    x = 6,723,647.04/2,914
  6. Step 6: Final answer
    x = 2,307.36

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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.