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Finding the Fourth Proportional to 14,646.88, 20,213.04 and 8,359.84

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Solution

The fourth proportional to 14,646.88, 20,213.04 and 8,359.84 is: 11,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.88 : 20,213.04 = 8,359.84 : x
  2. Step 2: Convert to fraction form
    14,646.88/20,213.04 = 8,359.84/x
  3. Step 3: Cross multiply
    14,646.88x = 20,213.04 × 8,359.84
  4. Step 4: Simplify right side
    14,646.88x = 168,977,780.31
  5. Step 5: Solve for x
    x = 168,977,780.31/14,646.88
  6. Step 6: Final answer
    x = 11,536.78

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1.5x scale

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.