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Finding the Fourth Proportional to 8,071.68, 12,109 and 2,806.48

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Solution

The fourth proportional to 8,071.68, 12,109 and 2,806.48 is: 4,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.68 : 12,109 = 2,806.48 : x
  2. Step 2: Convert to fraction form
    8,071.68/12,109 = 2,806.48/x
  3. Step 3: Cross multiply
    8,071.68x = 12,109 × 2,806.48
  4. Step 4: Simplify right side
    8,071.68x = 33,983,666.32
  5. Step 5: Solve for x
    x = 33,983,666.32/8,071.68
  6. Step 6: Final answer
    x = 4,210.23

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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.