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Finding the Fourth Proportional to 11,647.20, 17,449.20 and 10,869.60

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Solution

The fourth proportional to 11,647.20, 17,449.20 and 10,869.60 is: 16,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.20 : 17,449.20 = 10,869.60 : x
  2. Step 2: Convert to fraction form
    11,647.20/17,449.20 = 10,869.60/x
  3. Step 3: Cross multiply
    11,647.20x = 17,449.20 × 10,869.60
  4. Step 4: Simplify right side
    11,647.20x = 189,665,824.32
  5. Step 5: Solve for x
    x = 189,665,824.32/11,647.20
  6. Step 6: Final answer
    x = 16,284.24

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1.5x scale

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.