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Finding the Fourth Proportional to 7,626, 11,438.64 and 2,431.20

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Solution

The fourth proportional to 7,626, 11,438.64 and 2,431.20 is: 3,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626 : 11,438.64 = 2,431.20 : x
  2. Step 2: Convert to fraction form
    7,626/11,438.64 = 2,431.20/x
  3. Step 3: Cross multiply
    7,626x = 11,438.64 × 2,431.20
  4. Step 4: Simplify right side
    7,626x = 27,809,621.57
  5. Step 5: Solve for x
    x = 27,809,621.57/7,626
  6. Step 6: Final answer
    x = 3,646.69

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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.