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Finding the Fourth Proportional to 7,729.34, 10,662.54 and 4,891.92

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Solution

The fourth proportional to 7,729.34, 10,662.54 and 4,891.92 is: 6,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.34 : 10,662.54 = 4,891.92 : x
  2. Step 2: Convert to fraction form
    7,729.34/10,662.54 = 4,891.92/x
  3. Step 3: Cross multiply
    7,729.34x = 10,662.54 × 4,891.92
  4. Step 4: Simplify right side
    7,729.34x = 52,160,292.68
  5. Step 5: Solve for x
    x = 52,160,292.68/7,729.34
  6. Step 6: Final answer
    x = 6,748.35

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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.