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Finding the Fourth Proportional to 3,907.84, 5,850.72 and 3,123.84

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Solution

The fourth proportional to 3,907.84, 5,850.72 and 3,123.84 is: 4,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.84 : 5,850.72 = 3,123.84 : x
  2. Step 2: Convert to fraction form
    3,907.84/5,850.72 = 3,123.84/x
  3. Step 3: Cross multiply
    3,907.84x = 5,850.72 × 3,123.84
  4. Step 4: Simplify right side
    3,907.84x = 18,276,713.16
  5. Step 5: Solve for x
    x = 18,276,713.16/3,907.84
  6. Step 6: Final answer
    x = 4,676.93

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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.