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Finding the Fourth Proportional to 4,979.64, 7,459.74 and 3,660.96

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Solution

The fourth proportional to 4,979.64, 7,459.74 and 3,660.96 is: 5,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.64 : 7,459.74 = 3,660.96 : x
  2. Step 2: Convert to fraction form
    4,979.64/7,459.74 = 3,660.96/x
  3. Step 3: Cross multiply
    4,979.64x = 7,459.74 × 3,660.96
  4. Step 4: Simplify right side
    4,979.64x = 27,309,809.75
  5. Step 5: Solve for x
    x = 27,309,809.75/4,979.64
  6. Step 6: Final answer
    x = 5,484.29

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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.