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Finding the Fourth Proportional to 21,813.76, 30,108.40 and 12,388

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Solution

The fourth proportional to 21,813.76, 30,108.40 and 12,388 is: 17,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.76 : 30,108.40 = 12,388 : x
  2. Step 2: Convert to fraction form
    21,813.76/30,108.40 = 12,388/x
  3. Step 3: Cross multiply
    21,813.76x = 30,108.40 × 12,388
  4. Step 4: Simplify right side
    21,813.76x = 372,982,859.20
  5. Step 5: Solve for x
    x = 372,982,859.20/21,813.76
  6. Step 6: Final answer
    x = 17,098.51

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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.