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Finding the Fourth Proportional to 9,205.61, 13,808.72 and 2,965.55

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Solution

The fourth proportional to 9,205.61, 13,808.72 and 2,965.55 is: 4,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.61 : 13,808.72 = 2,965.55 : x
  2. Step 2: Convert to fraction form
    9,205.61/13,808.72 = 2,965.55/x
  3. Step 3: Cross multiply
    9,205.61x = 13,808.72 × 2,965.55
  4. Step 4: Simplify right side
    9,205.61x = 40,950,387.97
  5. Step 5: Solve for x
    x = 40,950,387.97/9,205.61
  6. Step 6: Final answer
    x = 4,448.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.