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Finding the Fourth Proportional to 3,161.77, 4,742.41 and 970.31

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Solution

The fourth proportional to 3,161.77, 4,742.41 and 970.31 is: 1,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.77 : 4,742.41 = 970.31 : x
  2. Step 2: Convert to fraction form
    3,161.77/4,742.41 = 970.31/x
  3. Step 3: Cross multiply
    3,161.77x = 4,742.41 × 970.31
  4. Step 4: Simplify right side
    3,161.77x = 4,601,607.85
  5. Step 5: Solve for x
    x = 4,601,607.85/3,161.77
  6. Step 6: Final answer
    x = 1,455.39

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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.