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Finding the Fourth Proportional to 2,954, 4,077.48 and 1,711.76

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Solution

The fourth proportional to 2,954, 4,077.48 and 1,711.76 is: 2,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954 : 4,077.48 = 1,711.76 : x
  2. Step 2: Convert to fraction form
    2,954/4,077.48 = 1,711.76/x
  3. Step 3: Cross multiply
    2,954x = 4,077.48 × 1,711.76
  4. Step 4: Simplify right side
    2,954x = 6,979,667.16
  5. Step 5: Solve for x
    x = 6,979,667.16/2,954
  6. Step 6: Final answer
    x = 2,362.79

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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.