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Finding the Fourth Proportional to 20,646, 30,969.36 and 8,334

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Solution

The fourth proportional to 20,646, 30,969.36 and 8,334 is: 12,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 30,969.36 = 8,334 : x
  2. Step 2: Convert to fraction form
    20,646/30,969.36 = 8,334/x
  3. Step 3: Cross multiply
    20,646x = 30,969.36 × 8,334
  4. Step 4: Simplify right side
    20,646x = 258,098,646.24
  5. Step 5: Solve for x
    x = 258,098,646.24/20,646
  6. Step 6: Final answer
    x = 12,501.15

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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.