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Finding the Fourth Proportional to 12,912.40, 19,319.72 and 7,650.23

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Solution

The fourth proportional to 12,912.40, 19,319.72 and 7,650.23 is: 11,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.40 : 19,319.72 = 7,650.23 : x
  2. Step 2: Convert to fraction form
    12,912.40/19,319.72 = 7,650.23/x
  3. Step 3: Cross multiply
    12,912.40x = 19,319.72 × 7,650.23
  4. Step 4: Simplify right side
    12,912.40x = 147,800,263.28
  5. Step 5: Solve for x
    x = 147,800,263.28/12,912.40
  6. Step 6: Final answer
    x = 11,446.39

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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.