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Finding the Fourth Proportional to 16,644.26, 22,969.16 and 9,090.47

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Solution

The fourth proportional to 16,644.26, 22,969.16 and 9,090.47 is: 12,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.26 : 22,969.16 = 9,090.47 : x
  2. Step 2: Convert to fraction form
    16,644.26/22,969.16 = 9,090.47/x
  3. Step 3: Cross multiply
    16,644.26x = 22,969.16 × 9,090.47
  4. Step 4: Simplify right side
    16,644.26x = 208,800,299.61
  5. Step 5: Solve for x
    x = 208,800,299.61/16,644.26
  6. Step 6: Final answer
    x = 12,544.89

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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.