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Finding the Fourth Proportional to 17,646.90, 26,470.38 and 7,786.20

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Solution

The fourth proportional to 17,646.90, 26,470.38 and 7,786.20 is: 11,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.90 : 26,470.38 = 7,786.20 : x
  2. Step 2: Convert to fraction form
    17,646.90/26,470.38 = 7,786.20/x
  3. Step 3: Cross multiply
    17,646.90x = 26,470.38 × 7,786.20
  4. Step 4: Simplify right side
    17,646.90x = 206,103,672.76
  5. Step 5: Solve for x
    x = 206,103,672.76/17,646.90
  6. Step 6: Final answer
    x = 11,679.31

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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.