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Finding the Fourth Proportional to 6,609, 9,117.92 and 4,219.06

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Solution

The fourth proportional to 6,609, 9,117.92 and 4,219.06 is: 5,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609 : 9,117.92 = 4,219.06 : x
  2. Step 2: Convert to fraction form
    6,609/9,117.92 = 4,219.06/x
  3. Step 3: Cross multiply
    6,609x = 9,117.92 × 4,219.06
  4. Step 4: Simplify right side
    6,609x = 38,469,051.56
  5. Step 5: Solve for x
    x = 38,469,051.56/6,609
  6. Step 6: Final answer
    x = 5,820.71

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1.5x scale

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.