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Finding the Fourth Proportional to 1,954.80, 2,932.70 and 1,378.80

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Solution

The fourth proportional to 1,954.80, 2,932.70 and 1,378.80 is: 2,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.80 : 2,932.70 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    1,954.80/2,932.70 = 1,378.80/x
  3. Step 3: Cross multiply
    1,954.80x = 2,932.70 × 1,378.80
  4. Step 4: Simplify right side
    1,954.80x = 4,043,606.76
  5. Step 5: Solve for x
    x = 4,043,606.76/1,954.80
  6. Step 6: Final answer
    x = 2,068.55

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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.