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Finding the Fourth Proportional to 15,057.54, 20,778.38 and 8,342.54

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Solution

The fourth proportional to 15,057.54, 20,778.38 and 8,342.54 is: 11,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.54 : 20,778.38 = 8,342.54 : x
  2. Step 2: Convert to fraction form
    15,057.54/20,778.38 = 8,342.54/x
  3. Step 3: Cross multiply
    15,057.54x = 20,778.38 × 8,342.54
  4. Step 4: Simplify right side
    15,057.54x = 173,344,466.29
  5. Step 5: Solve for x
    x = 173,344,466.29/15,057.54
  6. Step 6: Final answer
    x = 11,512.14

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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.