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Finding the Fourth Proportional to 6,486.96, 9,729.45 and 1,806.48

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Solution

The fourth proportional to 6,486.96, 9,729.45 and 1,806.48 is: 2,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.96 : 9,729.45 = 1,806.48 : x
  2. Step 2: Convert to fraction form
    6,486.96/9,729.45 = 1,806.48/x
  3. Step 3: Cross multiply
    6,486.96x = 9,729.45 × 1,806.48
  4. Step 4: Simplify right side
    6,486.96x = 17,576,037.09
  5. Step 5: Solve for x
    x = 17,576,037.09/6,486.96
  6. Step 6: Final answer
    x = 2,709.44

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1.5x scale

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.