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Finding the Fourth Proportional to 6,456.96, 9,686.28 and 2,072.88

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Solution

The fourth proportional to 6,456.96, 9,686.28 and 2,072.88 is: 3,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.96 : 9,686.28 = 2,072.88 : x
  2. Step 2: Convert to fraction form
    6,456.96/9,686.28 = 2,072.88/x
  3. Step 3: Cross multiply
    6,456.96x = 9,686.28 × 2,072.88
  4. Step 4: Simplify right side
    6,456.96x = 20,078,496.09
  5. Step 5: Solve for x
    x = 20,078,496.09/6,456.96
  6. Step 6: Final answer
    x = 3,109.59

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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.