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Finding the Fourth Proportional to 14,854, 20,498.52 and 8,230

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Solution

The fourth proportional to 14,854, 20,498.52 and 8,230 is: 11,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854 : 20,498.52 = 8,230 : x
  2. Step 2: Convert to fraction form
    14,854/20,498.52 = 8,230/x
  3. Step 3: Cross multiply
    14,854x = 20,498.52 × 8,230
  4. Step 4: Simplify right side
    14,854x = 168,702,819.60
  5. Step 5: Solve for x
    x = 168,702,819.60/14,854
  6. Step 6: Final answer
    x = 11,357.40

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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.