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Finding the Fourth Proportional to 6,983.16, 9,636.92 and 3,999.28

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Solution

The fourth proportional to 6,983.16, 9,636.92 and 3,999.28 is: 5,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.16 : 9,636.92 = 3,999.28 : x
  2. Step 2: Convert to fraction form
    6,983.16/9,636.92 = 3,999.28/x
  3. Step 3: Cross multiply
    6,983.16x = 9,636.92 × 3,999.28
  4. Step 4: Simplify right side
    6,983.16x = 38,540,741.42
  5. Step 5: Solve for x
    x = 38,540,741.42/6,983.16
  6. Step 6: Final answer
    x = 5,519.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.