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Finding the Fourth Proportional to 3,155.70, 4,733.20 and 965.95

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Solution

The fourth proportional to 3,155.70, 4,733.20 and 965.95 is: 1,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.70 : 4,733.20 = 965.95 : x
  2. Step 2: Convert to fraction form
    3,155.70/4,733.20 = 965.95/x
  3. Step 3: Cross multiply
    3,155.70x = 4,733.20 × 965.95
  4. Step 4: Simplify right side
    3,155.70x = 4,572,034.54
  5. Step 5: Solve for x
    x = 4,572,034.54/3,155.70
  6. Step 6: Final answer
    x = 1,448.82

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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.