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Finding the Fourth Proportional to 16,488.38, 22,754.34 and 9,415.46

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Solution

The fourth proportional to 16,488.38, 22,754.34 and 9,415.46 is: 12,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.38 : 22,754.34 = 9,415.46 : x
  2. Step 2: Convert to fraction form
    16,488.38/22,754.34 = 9,415.46/x
  3. Step 3: Cross multiply
    16,488.38x = 22,754.34 × 9,415.46
  4. Step 4: Simplify right side
    16,488.38x = 214,242,578.10
  5. Step 5: Solve for x
    x = 214,242,578.10/16,488.38
  6. Step 6: Final answer
    x = 12,993.55

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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.