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Finding the Fourth Proportional to 13,830.65, 20,753.28 and 8,295.11

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Solution

The fourth proportional to 13,830.65, 20,753.28 and 8,295.11 is: 12,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.65 : 20,753.28 = 8,295.11 : x
  2. Step 2: Convert to fraction form
    13,830.65/20,753.28 = 8,295.11/x
  3. Step 3: Cross multiply
    13,830.65x = 20,753.28 × 8,295.11
  4. Step 4: Simplify right side
    13,830.65x = 172,150,740.46
  5. Step 5: Solve for x
    x = 172,150,740.46/13,830.65
  6. Step 6: Final answer
    x = 12,447.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.