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Finding the Fourth Proportional to 6,109.26, 8,430.80 and 3,314.76

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Solution

The fourth proportional to 6,109.26, 8,430.80 and 3,314.76 is: 4,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.26 : 8,430.80 = 3,314.76 : x
  2. Step 2: Convert to fraction form
    6,109.26/8,430.80 = 3,314.76/x
  3. Step 3: Cross multiply
    6,109.26x = 8,430.80 × 3,314.76
  4. Step 4: Simplify right side
    6,109.26x = 27,946,062.03
  5. Step 5: Solve for x
    x = 27,946,062.03/6,109.26
  6. Step 6: Final answer
    x = 4,574.38

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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.