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Finding the Fourth Proportional to 4,945, 7,411 and 2,754.76

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Solution

The fourth proportional to 4,945, 7,411 and 2,754.76 is: 4,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945 : 7,411 = 2,754.76 : x
  2. Step 2: Convert to fraction form
    4,945/7,411 = 2,754.76/x
  3. Step 3: Cross multiply
    4,945x = 7,411 × 2,754.76
  4. Step 4: Simplify right side
    4,945x = 20,415,526.36
  5. Step 5: Solve for x
    x = 20,415,526.36/4,945
  6. Step 6: Final answer
    x = 4,128.52

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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.