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Finding the Fourth Proportional to 11,405.60, 17,108.40 and 4,839.20

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Solution

The fourth proportional to 11,405.60, 17,108.40 and 4,839.20 is: 7,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.60 : 17,108.40 = 4,839.20 : x
  2. Step 2: Convert to fraction form
    11,405.60/17,108.40 = 4,839.20/x
  3. Step 3: Cross multiply
    11,405.60x = 17,108.40 × 4,839.20
  4. Step 4: Simplify right side
    11,405.60x = 82,790,969.28
  5. Step 5: Solve for x
    x = 82,790,969.28/11,405.60
  6. Step 6: Final answer
    x = 7,258.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.