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Finding the Fourth Proportional to 13,234, 18,262.92 and 7,645

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Solution

The fourth proportional to 13,234, 18,262.92 and 7,645 is: 10,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 18,262.92 = 7,645 : x
  2. Step 2: Convert to fraction form
    13,234/18,262.92 = 7,645/x
  3. Step 3: Cross multiply
    13,234x = 18,262.92 × 7,645
  4. Step 4: Simplify right side
    13,234x = 139,620,023.40
  5. Step 5: Solve for x
    x = 139,620,023.40/13,234
  6. Step 6: Final answer
    x = 10,550.10

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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.