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Finding the Fourth Proportional to 3,401.84, 5,102.64 and 1,670

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Solution

The fourth proportional to 3,401.84, 5,102.64 and 1,670 is: 2,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.84 : 5,102.64 = 1,670 : x
  2. Step 2: Convert to fraction form
    3,401.84/5,102.64 = 1,670/x
  3. Step 3: Cross multiply
    3,401.84x = 5,102.64 × 1,670
  4. Step 4: Simplify right side
    3,401.84x = 8,521,408.80
  5. Step 5: Solve for x
    x = 8,521,408.80/3,401.84
  6. Step 6: Final answer
    x = 2,504.94

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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.