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Finding the Fourth Proportional to 12,176.60, 18,254.10 and 4,778.60

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Solution

The fourth proportional to 12,176.60, 18,254.10 and 4,778.60 is: 7,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.60 : 18,254.10 = 4,778.60 : x
  2. Step 2: Convert to fraction form
    12,176.60/18,254.10 = 4,778.60/x
  3. Step 3: Cross multiply
    12,176.60x = 18,254.10 × 4,778.60
  4. Step 4: Simplify right side
    12,176.60x = 87,229,042.26
  5. Step 5: Solve for x
    x = 87,229,042.26/12,176.60
  6. Step 6: Final answer
    x = 7,163.66

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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.