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Finding the Fourth Proportional to 12,894, 17,793.99 and 7,305

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Solution

The fourth proportional to 12,894, 17,793.99 and 7,305 is: 10,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894 : 17,793.99 = 7,305 : x
  2. Step 2: Convert to fraction form
    12,894/17,793.99 = 7,305/x
  3. Step 3: Cross multiply
    12,894x = 17,793.99 × 7,305
  4. Step 4: Simplify right side
    12,894x = 129,985,096.95
  5. Step 5: Solve for x
    x = 129,985,096.95/12,894
  6. Step 6: Final answer
    x = 10,081.05

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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.