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Finding the Fourth Proportional to 12,819.46, 17,692.07 and 7,782.52

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Solution

The fourth proportional to 12,819.46, 17,692.07 and 7,782.52 is: 10,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.46 : 17,692.07 = 7,782.52 : x
  2. Step 2: Convert to fraction form
    12,819.46/17,692.07 = 7,782.52/x
  3. Step 3: Cross multiply
    12,819.46x = 17,692.07 × 7,782.52
  4. Step 4: Simplify right side
    12,819.46x = 137,688,888.62
  5. Step 5: Solve for x
    x = 137,688,888.62/12,819.46
  6. Step 6: Final answer
    x = 10,740.62

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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.