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Finding the Fourth Proportional to 9,767.80, 14,638.90 and 3,928.50

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Solution

The fourth proportional to 9,767.80, 14,638.90 and 3,928.50 is: 5,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.80 : 14,638.90 = 3,928.50 : x
  2. Step 2: Convert to fraction form
    9,767.80/14,638.90 = 3,928.50/x
  3. Step 3: Cross multiply
    9,767.80x = 14,638.90 × 3,928.50
  4. Step 4: Simplify right side
    9,767.80x = 57,508,918.65
  5. Step 5: Solve for x
    x = 57,508,918.65/9,767.80
  6. Step 6: Final answer
    x = 5,887.60

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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.