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Finding the Fourth Proportional to 3,155.70, 4,357.62 and 1,978.80

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Solution

The fourth proportional to 3,155.70, 4,357.62 and 1,978.80 is: 2,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.70 : 4,357.62 = 1,978.80 : x
  2. Step 2: Convert to fraction form
    3,155.70/4,357.62 = 1,978.80/x
  3. Step 3: Cross multiply
    3,155.70x = 4,357.62 × 1,978.80
  4. Step 4: Simplify right side
    3,155.70x = 8,622,858.46
  5. Step 5: Solve for x
    x = 8,622,858.46/3,155.70
  6. Step 6: Final answer
    x = 2,732.47

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1.5x scale

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.