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Finding the Fourth Proportional to 15,105.22, 20,842.16 and 8,389.92

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Solution

The fourth proportional to 15,105.22, 20,842.16 and 8,389.92 is: 11,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.22 : 20,842.16 = 8,389.92 : x
  2. Step 2: Convert to fraction form
    15,105.22/20,842.16 = 8,389.92/x
  3. Step 3: Cross multiply
    15,105.22x = 20,842.16 × 8,389.92
  4. Step 4: Simplify right side
    15,105.22x = 174,864,055.03
  5. Step 5: Solve for x
    x = 174,864,055.03/15,105.22
  6. Step 6: Final answer
    x = 11,576.40

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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.