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Finding the Fourth Proportional to 17,668.64, 24,404.10 and 12,881

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Solution

The fourth proportional to 17,668.64, 24,404.10 and 12,881 is: 17,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.64 : 24,404.10 = 12,881 : x
  2. Step 2: Convert to fraction form
    17,668.64/24,404.10 = 12,881/x
  3. Step 3: Cross multiply
    17,668.64x = 24,404.10 × 12,881
  4. Step 4: Simplify right side
    17,668.64x = 314,349,212.10
  5. Step 5: Solve for x
    x = 314,349,212.10/17,668.64
  6. Step 6: Final answer
    x = 17,791.36

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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.