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Finding the Fourth Proportional to 13,456.35, 20,184.07 and 7,228.52

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Solution

The fourth proportional to 13,456.35, 20,184.07 and 7,228.52 is: 10,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.35 : 20,184.07 = 7,228.52 : x
  2. Step 2: Convert to fraction form
    13,456.35/20,184.07 = 7,228.52/x
  3. Step 3: Cross multiply
    13,456.35x = 20,184.07 × 7,228.52
  4. Step 4: Simplify right side
    13,456.35x = 145,900,953.68
  5. Step 5: Solve for x
    x = 145,900,953.68/13,456.35
  6. Step 6: Final answer
    x = 10,842.54

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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.