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Finding the Fourth Proportional to 3,078.84, 4,620.69 and 1,434.54

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Solution

The fourth proportional to 3,078.84, 4,620.69 and 1,434.54 is: 2,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.84 : 4,620.69 = 1,434.54 : x
  2. Step 2: Convert to fraction form
    3,078.84/4,620.69 = 1,434.54/x
  3. Step 3: Cross multiply
    3,078.84x = 4,620.69 × 1,434.54
  4. Step 4: Simplify right side
    3,078.84x = 6,628,564.63
  5. Step 5: Solve for x
    x = 6,628,564.63/3,078.84
  6. Step 6: Final answer
    x = 2,152.94

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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.