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Finding the Fourth Proportional to 13,366, 20,039.76 and 9,620.08

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Solution

The fourth proportional to 13,366, 20,039.76 and 9,620.08 is: 14,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366 : 20,039.76 = 9,620.08 : x
  2. Step 2: Convert to fraction form
    13,366/20,039.76 = 9,620.08/x
  3. Step 3: Cross multiply
    13,366x = 20,039.76 × 9,620.08
  4. Step 4: Simplify right side
    13,366x = 192,784,094.38
  5. Step 5: Solve for x
    x = 192,784,094.38/13,366
  6. Step 6: Final answer
    x = 14,423.47

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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.