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Finding the Fourth Proportional to 3,790.02, 5,681.54 and 3,478.68

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Solution

The fourth proportional to 3,790.02, 5,681.54 and 3,478.68 is: 5,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.02 : 5,681.54 = 3,478.68 : x
  2. Step 2: Convert to fraction form
    3,790.02/5,681.54 = 3,478.68/x
  3. Step 3: Cross multiply
    3,790.02x = 5,681.54 × 3,478.68
  4. Step 4: Simplify right side
    3,790.02x = 19,764,268.26
  5. Step 5: Solve for x
    x = 19,764,268.26/3,790.02
  6. Step 6: Final answer
    x = 5,214.81

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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.