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Finding the Fourth Proportional to 2,815.68, 3,881.93 and 2,309.68

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Solution

The fourth proportional to 2,815.68, 3,881.93 and 2,309.68 is: 3,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.68 : 3,881.93 = 2,309.68 : x
  2. Step 2: Convert to fraction form
    2,815.68/3,881.93 = 2,309.68/x
  3. Step 3: Cross multiply
    2,815.68x = 3,881.93 × 2,309.68
  4. Step 4: Simplify right side
    2,815.68x = 8,965,993.01
  5. Step 5: Solve for x
    x = 8,965,993.01/2,815.68
  6. Step 6: Final answer
    x = 3,184.31

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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.