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Finding the Fourth Proportional to 20,580.34, 30,874.81 and 11,699.76

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Solution

The fourth proportional to 20,580.34, 30,874.81 and 11,699.76 is: 17,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.34 : 30,874.81 = 11,699.76 : x
  2. Step 2: Convert to fraction form
    20,580.34/30,874.81 = 11,699.76/x
  3. Step 3: Cross multiply
    20,580.34x = 30,874.81 × 11,699.76
  4. Step 4: Simplify right side
    20,580.34x = 361,227,712.67
  5. Step 5: Solve for x
    x = 361,227,712.67/20,580.34
  6. Step 6: Final answer
    x = 17,552.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.