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Finding the Fourth Proportional to 12,804, 19,209.24 and 3,570

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Solution

The fourth proportional to 12,804, 19,209.24 and 3,570 is: 5,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804 : 19,209.24 = 3,570 : x
  2. Step 2: Convert to fraction form
    12,804/19,209.24 = 3,570/x
  3. Step 3: Cross multiply
    12,804x = 19,209.24 × 3,570
  4. Step 4: Simplify right side
    12,804x = 68,576,986.80
  5. Step 5: Solve for x
    x = 68,576,986.80/12,804
  6. Step 6: Final answer
    x = 5,355.90

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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.