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Finding the Fourth Proportional to 1,955.20, 2,932.80 and 1,825.60

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Solution

The fourth proportional to 1,955.20, 2,932.80 and 1,825.60 is: 2,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.20 : 2,932.80 = 1,825.60 : x
  2. Step 2: Convert to fraction form
    1,955.20/2,932.80 = 1,825.60/x
  3. Step 3: Cross multiply
    1,955.20x = 2,932.80 × 1,825.60
  4. Step 4: Simplify right side
    1,955.20x = 5,354,119.68
  5. Step 5: Solve for x
    x = 5,354,119.68/1,955.20
  6. Step 6: Final answer
    x = 2,738.40

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1.5x scale

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.