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Finding the Fourth Proportional to 3,379.84, 5,066 and 1,646.56

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Solution

The fourth proportional to 3,379.84, 5,066 and 1,646.56 is: 2,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.84 : 5,066 = 1,646.56 : x
  2. Step 2: Convert to fraction form
    3,379.84/5,066 = 1,646.56/x
  3. Step 3: Cross multiply
    3,379.84x = 5,066 × 1,646.56
  4. Step 4: Simplify right side
    3,379.84x = 8,341,472.96
  5. Step 5: Solve for x
    x = 8,341,472.96/3,379.84
  6. Step 6: Final answer
    x = 2,468.01

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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.