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Finding the Fourth Proportional to 3,006, 4,148.36 and 1,679.93

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Solution

The fourth proportional to 3,006, 4,148.36 and 1,679.93 is: 2,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,148.36 = 1,679.93 : x
  2. Step 2: Convert to fraction form
    3,006/4,148.36 = 1,679.93/x
  3. Step 3: Cross multiply
    3,006x = 4,148.36 × 1,679.93
  4. Step 4: Simplify right side
    3,006x = 6,968,925.27
  5. Step 5: Solve for x
    x = 6,968,925.27/3,006
  6. Step 6: Final answer
    x = 2,318.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.