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Finding the Fourth Proportional to 12,645.90, 18,975.24 and 6,077.61

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Solution

The fourth proportional to 12,645.90, 18,975.24 and 6,077.61 is: 9,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.90 : 18,975.24 = 6,077.61 : x
  2. Step 2: Convert to fraction form
    12,645.90/18,975.24 = 6,077.61/x
  3. Step 3: Cross multiply
    12,645.90x = 18,975.24 × 6,077.61
  4. Step 4: Simplify right side
    12,645.90x = 115,324,108.38
  5. Step 5: Solve for x
    x = 115,324,108.38/12,645.90
  6. Step 6: Final answer
    x = 9,119.49

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1.5x scale

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.