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Finding the Fourth Proportional to 5,538, 7,642.44 and 3,054

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Solution

The fourth proportional to 5,538, 7,642.44 and 3,054 is: 4,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538 : 7,642.44 = 3,054 : x
  2. Step 2: Convert to fraction form
    5,538/7,642.44 = 3,054/x
  3. Step 3: Cross multiply
    5,538x = 7,642.44 × 3,054
  4. Step 4: Simplify right side
    5,538x = 23,340,011.76
  5. Step 5: Solve for x
    x = 23,340,011.76/5,538
  6. Step 6: Final answer
    x = 4,214.52

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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.