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Finding the Fourth Proportional to 14,855.77, 20,500.16 and 8,141.41

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Solution

The fourth proportional to 14,855.77, 20,500.16 and 8,141.41 is: 11,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.77 : 20,500.16 = 8,141.41 : x
  2. Step 2: Convert to fraction form
    14,855.77/20,500.16 = 8,141.41/x
  3. Step 3: Cross multiply
    14,855.77x = 20,500.16 × 8,141.41
  4. Step 4: Simplify right side
    14,855.77x = 166,900,146.20
  5. Step 5: Solve for x
    x = 166,900,146.20/14,855.77
  6. Step 6: Final answer
    x = 11,234.70

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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.