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Finding the Fourth Proportional to 12,793.10, 19,146.30 and 7,865.86

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Solution

The fourth proportional to 12,793.10, 19,146.30 and 7,865.86 is: 11,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.10 : 19,146.30 = 7,865.86 : x
  2. Step 2: Convert to fraction form
    12,793.10/19,146.30 = 7,865.86/x
  3. Step 3: Cross multiply
    12,793.10x = 19,146.30 × 7,865.86
  4. Step 4: Simplify right side
    12,793.10x = 150,602,115.32
  5. Step 5: Solve for x
    x = 150,602,115.32/12,793.10
  6. Step 6: Final answer
    x = 11,772.14

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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.