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Finding the Fourth Proportional to 11,922.03, 16,455.42 and 8,146.71

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Solution

The fourth proportional to 11,922.03, 16,455.42 and 8,146.71 is: 11,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.03 : 16,455.42 = 8,146.71 : x
  2. Step 2: Convert to fraction form
    11,922.03/16,455.42 = 8,146.71/x
  3. Step 3: Cross multiply
    11,922.03x = 16,455.42 × 8,146.71
  4. Step 4: Simplify right side
    11,922.03x = 134,057,534.67
  5. Step 5: Solve for x
    x = 134,057,534.67/11,922.03
  6. Step 6: Final answer
    x = 11,244.52

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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.