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Finding the Fourth Proportional to 3,362.56, 4,638.72 and 2,896

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Solution

The fourth proportional to 3,362.56, 4,638.72 and 2,896 is: 3,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.56 : 4,638.72 = 2,896 : x
  2. Step 2: Convert to fraction form
    3,362.56/4,638.72 = 2,896/x
  3. Step 3: Cross multiply
    3,362.56x = 4,638.72 × 2,896
  4. Step 4: Simplify right side
    3,362.56x = 13,433,733.12
  5. Step 5: Solve for x
    x = 13,433,733.12/3,362.56
  6. Step 6: Final answer
    x = 3,995.09

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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.