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Finding the Fourth Proportional to 7,849, 11,776.76 and 4,889.92

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Solution

The fourth proportional to 7,849, 11,776.76 and 4,889.92 is: 7,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 11,776.76 = 4,889.92 : x
  2. Step 2: Convert to fraction form
    7,849/11,776.76 = 4,889.92/x
  3. Step 3: Cross multiply
    7,849x = 11,776.76 × 4,889.92
  4. Step 4: Simplify right side
    7,849x = 57,587,414.26
  5. Step 5: Solve for x
    x = 57,587,414.26/7,849
  6. Step 6: Final answer
    x = 7,336.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.