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Finding the Fourth Proportional to 2,708.93, 4,063.41 and 977.56

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Solution

The fourth proportional to 2,708.93, 4,063.41 and 977.56 is: 1,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.93 : 4,063.41 = 977.56 : x
  2. Step 2: Convert to fraction form
    2,708.93/4,063.41 = 977.56/x
  3. Step 3: Cross multiply
    2,708.93x = 4,063.41 × 977.56
  4. Step 4: Simplify right side
    2,708.93x = 3,972,216.92
  5. Step 5: Solve for x
    x = 3,972,216.92/2,708.93
  6. Step 6: Final answer
    x = 1,466.34

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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.