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Finding the Fourth Proportional to 7,720, 11,580.54 and 3,103

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Solution

The fourth proportional to 7,720, 11,580.54 and 3,103 is: 4,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 11,580.54 = 3,103 : x
  2. Step 2: Convert to fraction form
    7,720/11,580.54 = 3,103/x
  3. Step 3: Cross multiply
    7,720x = 11,580.54 × 3,103
  4. Step 4: Simplify right side
    7,720x = 35,934,415.62
  5. Step 5: Solve for x
    x = 35,934,415.62/7,720
  6. Step 6: Final answer
    x = 4,654.72

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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.