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Finding the Fourth Proportional to 3,938.97, 5,908.35 and 977.31

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Solution

The fourth proportional to 3,938.97, 5,908.35 and 977.31 is: 1,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.97 : 5,908.35 = 977.31 : x
  2. Step 2: Convert to fraction form
    3,938.97/5,908.35 = 977.31/x
  3. Step 3: Cross multiply
    3,938.97x = 5,908.35 × 977.31
  4. Step 4: Simplify right side
    3,938.97x = 5,774,289.54
  5. Step 5: Solve for x
    x = 5,774,289.54/3,938.97
  6. Step 6: Final answer
    x = 1,465.94

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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.