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Finding the Fourth Proportional to 12,530.70, 18,759.60 and 8,375.40

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Solution

The fourth proportional to 12,530.70, 18,759.60 and 8,375.40 is: 12,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.70 : 18,759.60 = 8,375.40 : x
  2. Step 2: Convert to fraction form
    12,530.70/18,759.60 = 8,375.40/x
  3. Step 3: Cross multiply
    12,530.70x = 18,759.60 × 8,375.40
  4. Step 4: Simplify right side
    12,530.70x = 157,119,153.84
  5. Step 5: Solve for x
    x = 157,119,153.84/12,530.70
  6. Step 6: Final answer
    x = 12,538.74

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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.