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Finding the Fourth Proportional to 12,830.92, 17,695.62 and 8,353

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Solution

The fourth proportional to 12,830.92, 17,695.62 and 8,353 is: 11,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.92 : 17,695.62 = 8,353 : x
  2. Step 2: Convert to fraction form
    12,830.92/17,695.62 = 8,353/x
  3. Step 3: Cross multiply
    12,830.92x = 17,695.62 × 8,353
  4. Step 4: Simplify right side
    12,830.92x = 147,811,513.86
  5. Step 5: Solve for x
    x = 147,811,513.86/12,830.92
  6. Step 6: Final answer
    x = 11,519.95

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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.