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Finding the Fourth Proportional to 15,786.75, 21,785.62 and 8,713.60

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Solution

The fourth proportional to 15,786.75, 21,785.62 and 8,713.60 is: 12,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.75 : 21,785.62 = 8,713.60 : x
  2. Step 2: Convert to fraction form
    15,786.75/21,785.62 = 8,713.60/x
  3. Step 3: Cross multiply
    15,786.75x = 21,785.62 × 8,713.60
  4. Step 4: Simplify right side
    15,786.75x = 189,831,178.43
  5. Step 5: Solve for x
    x = 189,831,178.43/15,786.75
  6. Step 6: Final answer
    x = 12,024.72

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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.