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Finding the Fourth Proportional to 18,078.63, 24,948.84 and 10,120.85

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Solution

The fourth proportional to 18,078.63, 24,948.84 and 10,120.85 is: 13,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.63 : 24,948.84 = 10,120.85 : x
  2. Step 2: Convert to fraction form
    18,078.63/24,948.84 = 10,120.85/x
  3. Step 3: Cross multiply
    18,078.63x = 24,948.84 × 10,120.85
  4. Step 4: Simplify right side
    18,078.63x = 252,503,474.08
  5. Step 5: Solve for x
    x = 252,503,474.08/18,078.63
  6. Step 6: Final answer
    x = 13,966.96

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1.5x scale

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.