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Finding the Fourth Proportional to 9,303.65, 13,939.22 and 7,753.61

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Solution

The fourth proportional to 9,303.65, 13,939.22 and 7,753.61 is: 11,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.65 : 13,939.22 = 7,753.61 : x
  2. Step 2: Convert to fraction form
    9,303.65/13,939.22 = 7,753.61/x
  3. Step 3: Cross multiply
    9,303.65x = 13,939.22 × 7,753.61
  4. Step 4: Simplify right side
    9,303.65x = 108,079,167.12
  5. Step 5: Solve for x
    x = 108,079,167.12/9,303.65
  6. Step 6: Final answer
    x = 11,616.86

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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.