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Finding the Fourth Proportional to 2,428.28, 3,642.42 and 784.80

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Solution

The fourth proportional to 2,428.28, 3,642.42 and 784.80 is: 1,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.28 : 3,642.42 = 784.80 : x
  2. Step 2: Convert to fraction form
    2,428.28/3,642.42 = 784.80/x
  3. Step 3: Cross multiply
    2,428.28x = 3,642.42 × 784.80
  4. Step 4: Simplify right side
    2,428.28x = 2,858,571.22
  5. Step 5: Solve for x
    x = 2,858,571.22/2,428.28
  6. Step 6: Final answer
    x = 1,177.20

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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.