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Finding the Fourth Proportional to 15,057.76, 20,778 and 8,341.72

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Solution

The fourth proportional to 15,057.76, 20,778 and 8,341.72 is: 11,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.76 : 20,778 = 8,341.72 : x
  2. Step 2: Convert to fraction form
    15,057.76/20,778 = 8,341.72/x
  3. Step 3: Cross multiply
    15,057.76x = 20,778 × 8,341.72
  4. Step 4: Simplify right side
    15,057.76x = 173,324,258.16
  5. Step 5: Solve for x
    x = 173,324,258.16/15,057.76
  6. Step 6: Final answer
    x = 11,510.63

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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.