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Finding the Fourth Proportional to 8,379.36, 12,583.64 and 7,720

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Solution

The fourth proportional to 8,379.36, 12,583.64 and 7,720 is: 11,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.36 : 12,583.64 = 7,720 : x
  2. Step 2: Convert to fraction form
    8,379.36/12,583.64 = 7,720/x
  3. Step 3: Cross multiply
    8,379.36x = 12,583.64 × 7,720
  4. Step 4: Simplify right side
    8,379.36x = 97,145,700.80
  5. Step 5: Solve for x
    x = 97,145,700.80/8,379.36
  6. Step 6: Final answer
    x = 11,593.45

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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.