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Finding the Fourth Proportional to 3,785.51, 5,681.91 and 3,546.76

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Solution

The fourth proportional to 3,785.51, 5,681.91 and 3,546.76 is: 5,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.51 : 5,681.91 = 3,546.76 : x
  2. Step 2: Convert to fraction form
    3,785.51/5,681.91 = 3,546.76/x
  3. Step 3: Cross multiply
    3,785.51x = 5,681.91 × 3,546.76
  4. Step 4: Simplify right side
    3,785.51x = 20,152,371.11
  5. Step 5: Solve for x
    x = 20,152,371.11/3,785.51
  6. Step 6: Final answer
    x = 5,323.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.