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Finding the Fourth Proportional to 20,212.53, 30,323.65 and 7,732.35

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Solution

The fourth proportional to 20,212.53, 30,323.65 and 7,732.35 is: 11,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.53 : 30,323.65 = 7,732.35 : x
  2. Step 2: Convert to fraction form
    20,212.53/30,323.65 = 7,732.35/x
  3. Step 3: Cross multiply
    20,212.53x = 30,323.65 × 7,732.35
  4. Step 4: Simplify right side
    20,212.53x = 234,473,075.08
  5. Step 5: Solve for x
    x = 234,473,075.08/20,212.53
  6. Step 6: Final answer
    x = 11,600.38

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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.