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Finding the Fourth Proportional to 9,307.72, 12,838 and 5,722.84

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Solution

The fourth proportional to 9,307.72, 12,838 and 5,722.84 is: 7,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.72 : 12,838 = 5,722.84 : x
  2. Step 2: Convert to fraction form
    9,307.72/12,838 = 5,722.84/x
  3. Step 3: Cross multiply
    9,307.72x = 12,838 × 5,722.84
  4. Step 4: Simplify right side
    9,307.72x = 73,469,819.92
  5. Step 5: Solve for x
    x = 73,469,819.92/9,307.72
  6. Step 6: Final answer
    x = 7,893.43

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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.