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Finding the Fourth Proportional to 12,191.43, 16,824.21 and 6,602.43

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Solution

The fourth proportional to 12,191.43, 16,824.21 and 6,602.43 is: 9,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.43 : 16,824.21 = 6,602.43 : x
  2. Step 2: Convert to fraction form
    12,191.43/16,824.21 = 6,602.43/x
  3. Step 3: Cross multiply
    12,191.43x = 16,824.21 × 6,602.43
  4. Step 4: Simplify right side
    12,191.43x = 111,080,668.83
  5. Step 5: Solve for x
    x = 111,080,668.83/12,191.43
  6. Step 6: Final answer
    x = 9,111.37

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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.