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Finding the Fourth Proportional to 7,965.30, 11,937.15 and 5,325.30

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Solution

The fourth proportional to 7,965.30, 11,937.15 and 5,325.30 is: 7,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.30 : 11,937.15 = 5,325.30 : x
  2. Step 2: Convert to fraction form
    7,965.30/11,937.15 = 5,325.30/x
  3. Step 3: Cross multiply
    7,965.30x = 11,937.15 × 5,325.30
  4. Step 4: Simplify right side
    7,965.30x = 63,568,904.90
  5. Step 5: Solve for x
    x = 63,568,904.90/7,965.30
  6. Step 6: Final answer
    x = 7,980.73

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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.