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Finding the Fourth Proportional to 14,909, 20,574.46 and 8,285

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Solution

The fourth proportional to 14,909, 20,574.46 and 8,285 is: 11,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909 : 20,574.46 = 8,285 : x
  2. Step 2: Convert to fraction form
    14,909/20,574.46 = 8,285/x
  3. Step 3: Cross multiply
    14,909x = 20,574.46 × 8,285
  4. Step 4: Simplify right side
    14,909x = 170,459,401.10
  5. Step 5: Solve for x
    x = 170,459,401.10/14,909
  6. Step 6: Final answer
    x = 11,433.32

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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.