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Finding the Fourth Proportional to 14,842.92, 20,483.20 and 8,128.55

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Solution

The fourth proportional to 14,842.92, 20,483.20 and 8,128.55 is: 11,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.92 : 20,483.20 = 8,128.55 : x
  2. Step 2: Convert to fraction form
    14,842.92/20,483.20 = 8,128.55/x
  3. Step 3: Cross multiply
    14,842.92x = 20,483.20 × 8,128.55
  4. Step 4: Simplify right side
    14,842.92x = 166,498,799.59
  5. Step 5: Solve for x
    x = 166,498,799.59/14,842.92
  6. Step 6: Final answer
    x = 11,217.39

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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.