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Finding the Fourth Proportional to 13,628.40, 20,426.40 and 5,730.90

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Solution

The fourth proportional to 13,628.40, 20,426.40 and 5,730.90 is: 8,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.40 : 20,426.40 = 5,730.90 : x
  2. Step 2: Convert to fraction form
    13,628.40/20,426.40 = 5,730.90/x
  3. Step 3: Cross multiply
    13,628.40x = 20,426.40 × 5,730.90
  4. Step 4: Simplify right side
    13,628.40x = 117,061,655.76
  5. Step 5: Solve for x
    x = 117,061,655.76/13,628.40
  6. Step 6: Final answer
    x = 8,589.54

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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.