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Finding the Fourth Proportional to 7,812.86, 11,721 and 3,650.60

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Solution

The fourth proportional to 7,812.86, 11,721 and 3,650.60 is: 5,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.86 : 11,721 = 3,650.60 : x
  2. Step 2: Convert to fraction form
    7,812.86/11,721 = 3,650.60/x
  3. Step 3: Cross multiply
    7,812.86x = 11,721 × 3,650.60
  4. Step 4: Simplify right side
    7,812.86x = 42,788,682.60
  5. Step 5: Solve for x
    x = 42,788,682.60/7,812.86
  6. Step 6: Final answer
    x = 5,476.70

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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.