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Finding the Fourth Proportional to 7,818, 11,725.80 and 2,270.19

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Solution

The fourth proportional to 7,818, 11,725.80 and 2,270.19 is: 3,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818 : 11,725.80 = 2,270.19 : x
  2. Step 2: Convert to fraction form
    7,818/11,725.80 = 2,270.19/x
  3. Step 3: Cross multiply
    7,818x = 11,725.80 × 2,270.19
  4. Step 4: Simplify right side
    7,818x = 26,619,793.90
  5. Step 5: Solve for x
    x = 26,619,793.90/7,818
  6. Step 6: Final answer
    x = 3,404.94

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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.