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Finding the Fourth Proportional to 10,607.76, 15,914.12 and 3,212.28

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Solution

The fourth proportional to 10,607.76, 15,914.12 and 3,212.28 is: 4,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.76 : 15,914.12 = 3,212.28 : x
  2. Step 2: Convert to fraction form
    10,607.76/15,914.12 = 3,212.28/x
  3. Step 3: Cross multiply
    10,607.76x = 15,914.12 × 3,212.28
  4. Step 4: Simplify right side
    10,607.76x = 51,120,609.39
  5. Step 5: Solve for x
    x = 51,120,609.39/10,607.76
  6. Step 6: Final answer
    x = 4,819.17

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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.