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Finding the Fourth Proportional to 15,783.60, 23,694.60 and 11,857.20

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Solution

The fourth proportional to 15,783.60, 23,694.60 and 11,857.20 is: 17,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.60 : 23,694.60 = 11,857.20 : x
  2. Step 2: Convert to fraction form
    15,783.60/23,694.60 = 11,857.20/x
  3. Step 3: Cross multiply
    15,783.60x = 23,694.60 × 11,857.20
  4. Step 4: Simplify right side
    15,783.60x = 280,951,611.12
  5. Step 5: Solve for x
    x = 280,951,611.12/15,783.60
  6. Step 6: Final answer
    x = 17,800.22

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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.