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Finding the Fourth Proportional to 7,729.95, 10,659.46 and 6,614.58

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Solution

The fourth proportional to 7,729.95, 10,659.46 and 6,614.58 is: 9,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.95 : 10,659.46 = 6,614.58 : x
  2. Step 2: Convert to fraction form
    7,729.95/10,659.46 = 6,614.58/x
  3. Step 3: Cross multiply
    7,729.95x = 10,659.46 × 6,614.58
  4. Step 4: Simplify right side
    7,729.95x = 70,507,850.93
  5. Step 5: Solve for x
    x = 70,507,850.93/7,729.95
  6. Step 6: Final answer
    x = 9,121.39

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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.