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Finding the Fourth Proportional to 14,576.76, 20,113.92 and 8,203.68

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Solution

The fourth proportional to 14,576.76, 20,113.92 and 8,203.68 is: 11,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.76 : 20,113.92 = 8,203.68 : x
  2. Step 2: Convert to fraction form
    14,576.76/20,113.92 = 8,203.68/x
  3. Step 3: Cross multiply
    14,576.76x = 20,113.92 × 8,203.68
  4. Step 4: Simplify right side
    14,576.76x = 165,008,163.23
  5. Step 5: Solve for x
    x = 165,008,163.23/14,576.76
  6. Step 6: Final answer
    x = 11,319.95

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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.