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Finding the Fourth Proportional to 3,072, 4,615.26 and 1,774.38

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Solution

The fourth proportional to 3,072, 4,615.26 and 1,774.38 is: 2,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 4,615.26 = 1,774.38 : x
  2. Step 2: Convert to fraction form
    3,072/4,615.26 = 1,774.38/x
  3. Step 3: Cross multiply
    3,072x = 4,615.26 × 1,774.38
  4. Step 4: Simplify right side
    3,072x = 8,189,225.04
  5. Step 5: Solve for x
    x = 8,189,225.04/3,072
  6. Step 6: Final answer
    x = 2,665.76

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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.