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Finding the Fourth Proportional to 2,954.07, 4,077 and 1,775.79

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Solution

The fourth proportional to 2,954.07, 4,077 and 1,775.79 is: 2,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.07 : 4,077 = 1,775.79 : x
  2. Step 2: Convert to fraction form
    2,954.07/4,077 = 1,775.79/x
  3. Step 3: Cross multiply
    2,954.07x = 4,077 × 1,775.79
  4. Step 4: Simplify right side
    2,954.07x = 7,239,895.83
  5. Step 5: Solve for x
    x = 7,239,895.83/2,954.07
  6. Step 6: Final answer
    x = 2,450.82

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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.