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Finding the Fourth Proportional to 15,781.86, 21,786.85 and 9,815.45

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Solution

The fourth proportional to 15,781.86, 21,786.85 and 9,815.45 is: 13,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.86 : 21,786.85 = 9,815.45 : x
  2. Step 2: Convert to fraction form
    15,781.86/21,786.85 = 9,815.45/x
  3. Step 3: Cross multiply
    15,781.86x = 21,786.85 × 9,815.45
  4. Step 4: Simplify right side
    15,781.86x = 213,847,627.90
  5. Step 5: Solve for x
    x = 213,847,627.90/15,781.86
  6. Step 6: Final answer
    x = 13,550.22

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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.