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Finding the Fourth Proportional to 21,460.44, 32,190.68 and 12,207

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Solution

The fourth proportional to 21,460.44, 32,190.68 and 12,207 is: 18,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.44 : 32,190.68 = 12,207 : x
  2. Step 2: Convert to fraction form
    21,460.44/32,190.68 = 12,207/x
  3. Step 3: Cross multiply
    21,460.44x = 32,190.68 × 12,207
  4. Step 4: Simplify right side
    21,460.44x = 392,951,630.76
  5. Step 5: Solve for x
    x = 392,951,630.76/21,460.44
  6. Step 6: Final answer
    x = 18,310.51

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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.