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Finding the Fourth Proportional to 12,806.77, 19,210.16 and 3,446.81

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Solution

The fourth proportional to 12,806.77, 19,210.16 and 3,446.81 is: 5,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.77 : 19,210.16 = 3,446.81 : x
  2. Step 2: Convert to fraction form
    12,806.77/19,210.16 = 3,446.81/x
  3. Step 3: Cross multiply
    12,806.77x = 19,210.16 × 3,446.81
  4. Step 4: Simplify right side
    12,806.77x = 66,213,730.34
  5. Step 5: Solve for x
    x = 66,213,730.34/12,806.77
  6. Step 6: Final answer
    x = 5,170.21

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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.