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Finding the Fourth Proportional to 11,354.78, 15,668.94 and 6,638.78

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Solution

The fourth proportional to 11,354.78, 15,668.94 and 6,638.78 is: 9,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.78 : 15,668.94 = 6,638.78 : x
  2. Step 2: Convert to fraction form
    11,354.78/15,668.94 = 6,638.78/x
  3. Step 3: Cross multiply
    11,354.78x = 15,668.94 × 6,638.78
  4. Step 4: Simplify right side
    11,354.78x = 104,022,645.49
  5. Step 5: Solve for x
    x = 104,022,645.49/11,354.78
  6. Step 6: Final answer
    x = 9,161.13

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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.