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Finding the Fourth Proportional to 7,729.31, 10,654.60 and 4,739.60

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Solution

The fourth proportional to 7,729.31, 10,654.60 and 4,739.60 is: 6,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.31 : 10,654.60 = 4,739.60 : x
  2. Step 2: Convert to fraction form
    7,729.31/10,654.60 = 4,739.60/x
  3. Step 3: Cross multiply
    7,729.31x = 10,654.60 × 4,739.60
  4. Step 4: Simplify right side
    7,729.31x = 50,498,542.16
  5. Step 5: Solve for x
    x = 50,498,542.16/7,729.31
  6. Step 6: Final answer
    x = 6,533.38

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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.