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Finding the Fourth Proportional to 3,930.66, 5,424.16 and 2,162.16

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Solution

The fourth proportional to 3,930.66, 5,424.16 and 2,162.16 is: 2,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.66 : 5,424.16 = 2,162.16 : x
  2. Step 2: Convert to fraction form
    3,930.66/5,424.16 = 2,162.16/x
  3. Step 3: Cross multiply
    3,930.66x = 5,424.16 × 2,162.16
  4. Step 4: Simplify right side
    3,930.66x = 11,727,901.79
  5. Step 5: Solve for x
    x = 11,727,901.79/3,930.66
  6. Step 6: Final answer
    x = 2,983.70

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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.