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Finding the Fourth Proportional to 15,788.22, 21,786.48 and 8,713.68

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Solution

The fourth proportional to 15,788.22, 21,786.48 and 8,713.68 is: 12,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.22 : 21,786.48 = 8,713.68 : x
  2. Step 2: Convert to fraction form
    15,788.22/21,786.48 = 8,713.68/x
  3. Step 3: Cross multiply
    15,788.22x = 21,786.48 × 8,713.68
  4. Step 4: Simplify right side
    15,788.22x = 189,840,415.05
  5. Step 5: Solve for x
    x = 189,840,415.05/15,788.22
  6. Step 6: Final answer
    x = 12,024.18

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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.