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Finding the Fourth Proportional to 12,057.54, 18,070.92 and 10,491

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Solution

The fourth proportional to 12,057.54, 18,070.92 and 10,491 is: 15,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.54 : 18,070.92 = 10,491 : x
  2. Step 2: Convert to fraction form
    12,057.54/18,070.92 = 10,491/x
  3. Step 3: Cross multiply
    12,057.54x = 18,070.92 × 10,491
  4. Step 4: Simplify right side
    12,057.54x = 189,582,021.72
  5. Step 5: Solve for x
    x = 189,582,021.72/12,057.54
  6. Step 6: Final answer
    x = 15,723.11

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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.