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Finding the Fourth Proportional to 16,721.64, 23,076.90 and 9,269.64

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Solution

The fourth proportional to 16,721.64, 23,076.90 and 9,269.64 is: 12,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721.64 : 23,076.90 = 9,269.64 : x
  2. Step 2: Convert to fraction form
    16,721.64/23,076.90 = 9,269.64/x
  3. Step 3: Cross multiply
    16,721.64x = 23,076.90 × 9,269.64
  4. Step 4: Simplify right side
    16,721.64x = 213,914,555.32
  5. Step 5: Solve for x
    x = 213,914,555.32/16,721.64
  6. Step 6: Final answer
    x = 12,792.68

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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.