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Finding the Fourth Proportional to 13,805.88, 20,700.92 and 6,406.53

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Solution

The fourth proportional to 13,805.88, 20,700.92 and 6,406.53 is: 9,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.88 : 20,700.92 = 6,406.53 : x
  2. Step 2: Convert to fraction form
    13,805.88/20,700.92 = 6,406.53/x
  3. Step 3: Cross multiply
    13,805.88x = 20,700.92 × 6,406.53
  4. Step 4: Simplify right side
    13,805.88x = 132,620,929.47
  5. Step 5: Solve for x
    x = 132,620,929.47/13,805.88
  6. Step 6: Final answer
    x = 9,606.12

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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.