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Finding the Fourth Proportional to 3,806.68, 5,710.22 and 1,957.32

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Solution

The fourth proportional to 3,806.68, 5,710.22 and 1,957.32 is: 2,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.68 : 5,710.22 = 1,957.32 : x
  2. Step 2: Convert to fraction form
    3,806.68/5,710.22 = 1,957.32/x
  3. Step 3: Cross multiply
    3,806.68x = 5,710.22 × 1,957.32
  4. Step 4: Simplify right side
    3,806.68x = 11,176,727.81
  5. Step 5: Solve for x
    x = 11,176,727.81/3,806.68
  6. Step 6: Final answer
    x = 2,936.08

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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.