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Finding the Fourth Proportional to 4,077, 5,626.62 and 2,309.40

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Solution

The fourth proportional to 4,077, 5,626.62 and 2,309.40 is: 3,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 5,626.62 = 2,309.40 : x
  2. Step 2: Convert to fraction form
    4,077/5,626.62 = 2,309.40/x
  3. Step 3: Cross multiply
    4,077x = 5,626.62 × 2,309.40
  4. Step 4: Simplify right side
    4,077x = 12,994,116.23
  5. Step 5: Solve for x
    x = 12,994,116.23/4,077
  6. Step 6: Final answer
    x = 3,187.18

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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.