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Finding the Fourth Proportional to 7,784.24, 10,736.92 and 4,638

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Solution

The fourth proportional to 7,784.24, 10,736.92 and 4,638 is: 6,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.24 : 10,736.92 = 4,638 : x
  2. Step 2: Convert to fraction form
    7,784.24/10,736.92 = 4,638/x
  3. Step 3: Cross multiply
    7,784.24x = 10,736.92 × 4,638
  4. Step 4: Simplify right side
    7,784.24x = 49,797,834.96
  5. Step 5: Solve for x
    x = 49,797,834.96/7,784.24
  6. Step 6: Final answer
    x = 6,397.26

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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.