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Finding the Fourth Proportional to 9,729, 13,451.62 and 9,293.80

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Solution

The fourth proportional to 9,729, 13,451.62 and 9,293.80 is: 12,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 13,451.62 = 9,293.80 : x
  2. Step 2: Convert to fraction form
    9,729/13,451.62 = 9,293.80/x
  3. Step 3: Cross multiply
    9,729x = 13,451.62 × 9,293.80
  4. Step 4: Simplify right side
    9,729x = 125,016,665.96
  5. Step 5: Solve for x
    x = 125,016,665.96/9,729
  6. Step 6: Final answer
    x = 12,849.90

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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.