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Finding the Fourth Proportional to 18,878.42, 28,321.06 and 7,778.94

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Solution

The fourth proportional to 18,878.42, 28,321.06 and 7,778.94 is: 11,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878.42 : 28,321.06 = 7,778.94 : x
  2. Step 2: Convert to fraction form
    18,878.42/28,321.06 = 7,778.94/x
  3. Step 3: Cross multiply
    18,878.42x = 28,321.06 × 7,778.94
  4. Step 4: Simplify right side
    18,878.42x = 220,307,826.48
  5. Step 5: Solve for x
    x = 220,307,826.48/18,878.42
  6. Step 6: Final answer
    x = 11,669.82

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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.