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Finding the Fourth Proportional to 7,924.64, 11,880.48 and 2,991.47

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Solution

The fourth proportional to 7,924.64, 11,880.48 and 2,991.47 is: 4,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.64 : 11,880.48 = 2,991.47 : x
  2. Step 2: Convert to fraction form
    7,924.64/11,880.48 = 2,991.47/x
  3. Step 3: Cross multiply
    7,924.64x = 11,880.48 × 2,991.47
  4. Step 4: Simplify right side
    7,924.64x = 35,540,099.51
  5. Step 5: Solve for x
    x = 35,540,099.51/7,924.64
  6. Step 6: Final answer
    x = 4,484.76

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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.