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Finding the Fourth Proportional to 12,806.84, 19,210.50 and 5,015.96

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Solution

The fourth proportional to 12,806.84, 19,210.50 and 5,015.96 is: 7,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.84 : 19,210.50 = 5,015.96 : x
  2. Step 2: Convert to fraction form
    12,806.84/19,210.50 = 5,015.96/x
  3. Step 3: Cross multiply
    12,806.84x = 19,210.50 × 5,015.96
  4. Step 4: Simplify right side
    12,806.84x = 96,359,099.58
  5. Step 5: Solve for x
    x = 96,359,099.58/12,806.84
  6. Step 6: Final answer
    x = 7,524.03

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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.