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Finding the Fourth Proportional to 8,782.68, 13,175.90 and 2,939.06

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Solution

The fourth proportional to 8,782.68, 13,175.90 and 2,939.06 is: 4,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.68 : 13,175.90 = 2,939.06 : x
  2. Step 2: Convert to fraction form
    8,782.68/13,175.90 = 2,939.06/x
  3. Step 3: Cross multiply
    8,782.68x = 13,175.90 × 2,939.06
  4. Step 4: Simplify right side
    8,782.68x = 38,724,760.65
  5. Step 5: Solve for x
    x = 38,724,760.65/8,782.68
  6. Step 6: Final answer
    x = 4,409.22

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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.