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Finding the Fourth Proportional to 13,152.40, 19,696.20 and 9,847.60

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Solution

The fourth proportional to 13,152.40, 19,696.20 and 9,847.60 is: 14,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.40 : 19,696.20 = 9,847.60 : x
  2. Step 2: Convert to fraction form
    13,152.40/19,696.20 = 9,847.60/x
  3. Step 3: Cross multiply
    13,152.40x = 19,696.20 × 9,847.60
  4. Step 4: Simplify right side
    13,152.40x = 193,960,299.12
  5. Step 5: Solve for x
    x = 193,960,299.12/13,152.40
  6. Step 6: Final answer
    x = 14,747.14

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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.