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Finding the Fourth Proportional to 19,668.42, 29,509.92 and 9,144.09

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Solution

The fourth proportional to 19,668.42, 29,509.92 and 9,144.09 is: 13,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.42 : 29,509.92 = 9,144.09 : x
  2. Step 2: Convert to fraction form
    19,668.42/29,509.92 = 9,144.09/x
  3. Step 3: Cross multiply
    19,668.42x = 29,509.92 × 9,144.09
  4. Step 4: Simplify right side
    19,668.42x = 269,841,364.37
  5. Step 5: Solve for x
    x = 269,841,364.37/19,668.42
  6. Step 6: Final answer
    x = 13,719.52

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1.5x scale

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.