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Finding the Fourth Proportional to 20,342.77, 28,069.64 and 12,783.73

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Solution

The fourth proportional to 20,342.77, 28,069.64 and 12,783.73 is: 17,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.77 : 28,069.64 = 12,783.73 : x
  2. Step 2: Convert to fraction form
    20,342.77/28,069.64 = 12,783.73/x
  3. Step 3: Cross multiply
    20,342.77x = 28,069.64 × 12,783.73
  4. Step 4: Simplify right side
    20,342.77x = 358,834,494.69
  5. Step 5: Solve for x
    x = 358,834,494.69/20,342.77
  6. Step 6: Final answer
    x = 17,639.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.