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Finding the Fourth Proportional to 16,506.43, 22,780.43 and 9,431.48

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Solution

The fourth proportional to 16,506.43, 22,780.43 and 9,431.48 is: 13,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.43 : 22,780.43 = 9,431.48 : x
  2. Step 2: Convert to fraction form
    16,506.43/22,780.43 = 9,431.48/x
  3. Step 3: Cross multiply
    16,506.43x = 22,780.43 × 9,431.48
  4. Step 4: Simplify right side
    16,506.43x = 214,853,169.94
  5. Step 5: Solve for x
    x = 214,853,169.94/16,506.43
  6. Step 6: Final answer
    x = 13,016.33

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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.