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Finding the Fourth Proportional to 6,806.61, 10,209.91 and 2,127.02

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Solution

The fourth proportional to 6,806.61, 10,209.91 and 2,127.02 is: 3,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.61 : 10,209.91 = 2,127.02 : x
  2. Step 2: Convert to fraction form
    6,806.61/10,209.91 = 2,127.02/x
  3. Step 3: Cross multiply
    6,806.61x = 10,209.91 × 2,127.02
  4. Step 4: Simplify right side
    6,806.61x = 21,716,672.13
  5. Step 5: Solve for x
    x = 21,716,672.13/6,806.61
  6. Step 6: Final answer
    x = 3,190.53

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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.