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Finding the Fourth Proportional to 29,668.63, 40,942.71 and 16,420.63

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Solution

The fourth proportional to 29,668.63, 40,942.71 and 16,420.63 is: 22,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.63 : 40,942.71 = 16,420.63 : x
  2. Step 2: Convert to fraction form
    29,668.63/40,942.71 = 16,420.63/x
  3. Step 3: Cross multiply
    29,668.63x = 40,942.71 × 16,420.63
  4. Step 4: Simplify right side
    29,668.63x = 672,304,887.39
  5. Step 5: Solve for x
    x = 672,304,887.39/29,668.63
  6. Step 6: Final answer
    x = 22,660.47

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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.