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Finding the Fourth Proportional to 16,370, 22,590.64 and 8,918

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Solution

The fourth proportional to 16,370, 22,590.64 and 8,918 is: 12,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370 : 22,590.64 = 8,918 : x
  2. Step 2: Convert to fraction form
    16,370/22,590.64 = 8,918/x
  3. Step 3: Cross multiply
    16,370x = 22,590.64 × 8,918
  4. Step 4: Simplify right side
    16,370x = 201,463,327.52
  5. Step 5: Solve for x
    x = 201,463,327.52/16,370
  6. Step 6: Final answer
    x = 12,306.86

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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.