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Finding the Fourth Proportional to 13,790.25, 20,685.58 and 3,402

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Solution

The fourth proportional to 13,790.25, 20,685.58 and 3,402 is: 5,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.25 : 20,685.58 = 3,402 : x
  2. Step 2: Convert to fraction form
    13,790.25/20,685.58 = 3,402/x
  3. Step 3: Cross multiply
    13,790.25x = 20,685.58 × 3,402
  4. Step 4: Simplify right side
    13,790.25x = 70,372,334.66
  5. Step 5: Solve for x
    x = 70,372,334.66/13,790.25
  6. Step 6: Final answer
    x = 5,103.05

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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.