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Finding the Fourth Proportional to 9,065, 13,597.50 and 3,221.84

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Solution

The fourth proportional to 9,065, 13,597.50 and 3,221.84 is: 4,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065 : 13,597.50 = 3,221.84 : x
  2. Step 2: Convert to fraction form
    9,065/13,597.50 = 3,221.84/x
  3. Step 3: Cross multiply
    9,065x = 13,597.50 × 3,221.84
  4. Step 4: Simplify right side
    9,065x = 43,808,969.40
  5. Step 5: Solve for x
    x = 43,808,969.40/9,065
  6. Step 6: Final answer
    x = 4,832.76

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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.