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Finding the Fourth Proportional to 9,165.81, 12,653.82 and 6,909.87

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Solution

The fourth proportional to 9,165.81, 12,653.82 and 6,909.87 is: 9,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.81 : 12,653.82 = 6,909.87 : x
  2. Step 2: Convert to fraction form
    9,165.81/12,653.82 = 6,909.87/x
  3. Step 3: Cross multiply
    9,165.81x = 12,653.82 × 6,909.87
  4. Step 4: Simplify right side
    9,165.81x = 87,436,251.20
  5. Step 5: Solve for x
    x = 87,436,251.20/9,165.81
  6. Step 6: Final answer
    x = 9,539.39

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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.