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Finding the Fourth Proportional to 4,620.70, 6,934.70 and 2,154.25

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Solution

The fourth proportional to 4,620.70, 6,934.70 and 2,154.25 is: 3,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.70 : 6,934.70 = 2,154.25 : x
  2. Step 2: Convert to fraction form
    4,620.70/6,934.70 = 2,154.25/x
  3. Step 3: Cross multiply
    4,620.70x = 6,934.70 × 2,154.25
  4. Step 4: Simplify right side
    4,620.70x = 14,939,049.37
  5. Step 5: Solve for x
    x = 14,939,049.37/4,620.70
  6. Step 6: Final answer
    x = 3,233.07

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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.