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Finding the Fourth Proportional to 11,829.60, 17,729.28 and 4,427.28

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Solution

The fourth proportional to 11,829.60, 17,729.28 and 4,427.28 is: 6,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.60 : 17,729.28 = 4,427.28 : x
  2. Step 2: Convert to fraction form
    11,829.60/17,729.28 = 4,427.28/x
  3. Step 3: Cross multiply
    11,829.60x = 17,729.28 × 4,427.28
  4. Step 4: Simplify right side
    11,829.60x = 78,492,486.76
  5. Step 5: Solve for x
    x = 78,492,486.76/11,829.60
  6. Step 6: Final answer
    x = 6,635.26

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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.