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Finding the Fourth Proportional to 7,919.64, 11,871.62 and 3,752.32

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Solution

The fourth proportional to 7,919.64, 11,871.62 and 3,752.32 is: 5,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.64 : 11,871.62 = 3,752.32 : x
  2. Step 2: Convert to fraction form
    7,919.64/11,871.62 = 3,752.32/x
  3. Step 3: Cross multiply
    7,919.64x = 11,871.62 × 3,752.32
  4. Step 4: Simplify right side
    7,919.64x = 44,546,117.16
  5. Step 5: Solve for x
    x = 44,546,117.16/7,919.64
  6. Step 6: Final answer
    x = 5,624.77

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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.