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Finding the Fourth Proportional to 11,812.64, 16,296 and 7,622.24

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Solution

The fourth proportional to 11,812.64, 16,296 and 7,622.24 is: 10,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.64 : 16,296 = 7,622.24 : x
  2. Step 2: Convert to fraction form
    11,812.64/16,296 = 7,622.24/x
  3. Step 3: Cross multiply
    11,812.64x = 16,296 × 7,622.24
  4. Step 4: Simplify right side
    11,812.64x = 124,212,023.04
  5. Step 5: Solve for x
    x = 124,212,023.04/11,812.64
  6. Step 6: Final answer
    x = 10,515.18

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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.