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Finding the Fourth Proportional to 15,781.26, 21,778.84 and 8,707.26

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Solution

The fourth proportional to 15,781.26, 21,778.84 and 8,707.26 is: 12,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.26 : 21,778.84 = 8,707.26 : x
  2. Step 2: Convert to fraction form
    15,781.26/21,778.84 = 8,707.26/x
  3. Step 3: Cross multiply
    15,781.26x = 21,778.84 × 8,707.26
  4. Step 4: Simplify right side
    15,781.26x = 189,634,022.38
  5. Step 5: Solve for x
    x = 189,634,022.38/15,781.26
  6. Step 6: Final answer
    x = 12,016.41

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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.