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Finding the Fourth Proportional to 12,405.52, 17,119.20 and 6,816.40

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Solution

The fourth proportional to 12,405.52, 17,119.20 and 6,816.40 is: 9,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.52 : 17,119.20 = 6,816.40 : x
  2. Step 2: Convert to fraction form
    12,405.52/17,119.20 = 6,816.40/x
  3. Step 3: Cross multiply
    12,405.52x = 17,119.20 × 6,816.40
  4. Step 4: Simplify right side
    12,405.52x = 116,691,314.88
  5. Step 5: Solve for x
    x = 116,691,314.88/12,405.52
  6. Step 6: Final answer
    x = 9,406.40

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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.