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Finding the Fourth Proportional to 11,523.60, 15,906.24 and 7,538.40

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Solution

The fourth proportional to 11,523.60, 15,906.24 and 7,538.40 is: 10,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.60 : 15,906.24 = 7,538.40 : x
  2. Step 2: Convert to fraction form
    11,523.60/15,906.24 = 7,538.40/x
  3. Step 3: Cross multiply
    11,523.60x = 15,906.24 × 7,538.40
  4. Step 4: Simplify right side
    11,523.60x = 119,907,599.62
  5. Step 5: Solve for x
    x = 119,907,599.62/11,523.60
  6. Step 6: Final answer
    x = 10,405.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.