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Finding the Fourth Proportional to 11,232.40, 16,848.60 and 6,858.40

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Solution

The fourth proportional to 11,232.40, 16,848.60 and 6,858.40 is: 10,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.40 : 16,848.60 = 6,858.40 : x
  2. Step 2: Convert to fraction form
    11,232.40/16,848.60 = 6,858.40/x
  3. Step 3: Cross multiply
    11,232.40x = 16,848.60 × 6,858.40
  4. Step 4: Simplify right side
    11,232.40x = 115,554,438.24
  5. Step 5: Solve for x
    x = 115,554,438.24/11,232.40
  6. Step 6: Final answer
    x = 10,287.60

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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.