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Finding the Fourth Proportional to 2,541.48, 3,812.90 and 786.41

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Solution

The fourth proportional to 2,541.48, 3,812.90 and 786.41 is: 1,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.48 : 3,812.90 = 786.41 : x
  2. Step 2: Convert to fraction form
    2,541.48/3,812.90 = 786.41/x
  3. Step 3: Cross multiply
    2,541.48x = 3,812.90 × 786.41
  4. Step 4: Simplify right side
    2,541.48x = 2,998,479.69
  5. Step 5: Solve for x
    x = 2,998,479.69/2,541.48
  6. Step 6: Final answer
    x = 1,179.82

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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.