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Finding the Fourth Proportional to 10,806.15, 16,211.19 and 5,259.51

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Solution

The fourth proportional to 10,806.15, 16,211.19 and 5,259.51 is: 7,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.15 : 16,211.19 = 5,259.51 : x
  2. Step 2: Convert to fraction form
    10,806.15/16,211.19 = 5,259.51/x
  3. Step 3: Cross multiply
    10,806.15x = 16,211.19 × 5,259.51
  4. Step 4: Simplify right side
    10,806.15x = 85,262,935.64
  5. Step 5: Solve for x
    x = 85,262,935.64/10,806.15
  6. Step 6: Final answer
    x = 7,890.22

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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.