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Finding the Fourth Proportional to 16,464.78, 22,721.40 and 9,012.78

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Solution

The fourth proportional to 16,464.78, 22,721.40 and 9,012.78 is: 12,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.78 : 22,721.40 = 9,012.78 : x
  2. Step 2: Convert to fraction form
    16,464.78/22,721.40 = 9,012.78/x
  3. Step 3: Cross multiply
    16,464.78x = 22,721.40 × 9,012.78
  4. Step 4: Simplify right side
    16,464.78x = 204,782,979.49
  5. Step 5: Solve for x
    x = 204,782,979.49/16,464.78
  6. Step 6: Final answer
    x = 12,437.64

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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.