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Finding the Fourth Proportional to 16,080, 22,190.46 and 10,491

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Solution

The fourth proportional to 16,080, 22,190.46 and 10,491 is: 14,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,080 : 22,190.46 = 10,491 : x
  2. Step 2: Convert to fraction form
    16,080/22,190.46 = 10,491/x
  3. Step 3: Cross multiply
    16,080x = 22,190.46 × 10,491
  4. Step 4: Simplify right side
    16,080x = 232,800,115.86
  5. Step 5: Solve for x
    x = 232,800,115.86/16,080
  6. Step 6: Final answer
    x = 14,477.62

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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.