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Finding the Fourth Proportional to 7,820.03, 11,737.13 and 3,662.43

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Solution

The fourth proportional to 7,820.03, 11,737.13 and 3,662.43 is: 5,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.03 : 11,737.13 = 3,662.43 : x
  2. Step 2: Convert to fraction form
    7,820.03/11,737.13 = 3,662.43/x
  3. Step 3: Cross multiply
    7,820.03x = 11,737.13 × 3,662.43
  4. Step 4: Simplify right side
    7,820.03x = 42,986,398.71
  5. Step 5: Solve for x
    x = 42,986,398.71/7,820.03
  6. Step 6: Final answer
    x = 5,496.96

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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.