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Finding the Fourth Proportional to 4,077, 5,626.74 and 2,421

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Solution

The fourth proportional to 4,077, 5,626.74 and 2,421 is: 3,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 5,626.74 = 2,421 : x
  2. Step 2: Convert to fraction form
    4,077/5,626.74 = 2,421/x
  3. Step 3: Cross multiply
    4,077x = 5,626.74 × 2,421
  4. Step 4: Simplify right side
    4,077x = 13,622,337.54
  5. Step 5: Solve for x
    x = 13,622,337.54/4,077
  6. Step 6: Final answer
    x = 3,341.27

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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.