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Finding the Fourth Proportional to 14,906, 20,570.28 and 8,618.78

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Solution

The fourth proportional to 14,906, 20,570.28 and 8,618.78 is: 11,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906 : 20,570.28 = 8,618.78 : x
  2. Step 2: Convert to fraction form
    14,906/20,570.28 = 8,618.78/x
  3. Step 3: Cross multiply
    14,906x = 20,570.28 × 8,618.78
  4. Step 4: Simplify right side
    14,906x = 177,290,717.86
  5. Step 5: Solve for x
    x = 177,290,717.86/14,906
  6. Step 6: Final answer
    x = 11,893.92

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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.