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Finding the Fourth Proportional to 6,707.30, 9,250 and 4,189.64

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Solution

The fourth proportional to 6,707.30, 9,250 and 4,189.64 is: 5,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.30 : 9,250 = 4,189.64 : x
  2. Step 2: Convert to fraction form
    6,707.30/9,250 = 4,189.64/x
  3. Step 3: Cross multiply
    6,707.30x = 9,250 × 4,189.64
  4. Step 4: Simplify right side
    6,707.30x = 38,754,170
  5. Step 5: Solve for x
    x = 38,754,170/6,707.30
  6. Step 6: Final answer
    x = 5,777.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.