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Finding the Fourth Proportional to 9,782.57, 14,673.70 and 3,939.04

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Solution

The fourth proportional to 9,782.57, 14,673.70 and 3,939.04 is: 5,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.57 : 14,673.70 = 3,939.04 : x
  2. Step 2: Convert to fraction form
    9,782.57/14,673.70 = 3,939.04/x
  3. Step 3: Cross multiply
    9,782.57x = 14,673.70 × 3,939.04
  4. Step 4: Simplify right side
    9,782.57x = 57,800,291.25
  5. Step 5: Solve for x
    x = 57,800,291.25/9,782.57
  6. Step 6: Final answer
    x = 5,908.50

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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.