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Finding the Fourth Proportional to 2,428.36, 3,642.96 and 785.42

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Solution

The fourth proportional to 2,428.36, 3,642.96 and 785.42 is: 1,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.36 : 3,642.96 = 785.42 : x
  2. Step 2: Convert to fraction form
    2,428.36/3,642.96 = 785.42/x
  3. Step 3: Cross multiply
    2,428.36x = 3,642.96 × 785.42
  4. Step 4: Simplify right side
    2,428.36x = 2,861,253.64
  5. Step 5: Solve for x
    x = 2,861,253.64/2,428.36
  6. Step 6: Final answer
    x = 1,178.27

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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.