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Finding the Fourth Proportional to 9,311.68, 13,969.02 and 3,069.88

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Solution

The fourth proportional to 9,311.68, 13,969.02 and 3,069.88 is: 4,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.68 : 13,969.02 = 3,069.88 : x
  2. Step 2: Convert to fraction form
    9,311.68/13,969.02 = 3,069.88/x
  3. Step 3: Cross multiply
    9,311.68x = 13,969.02 × 3,069.88
  4. Step 4: Simplify right side
    9,311.68x = 42,883,215.12
  5. Step 5: Solve for x
    x = 42,883,215.12/9,311.68
  6. Step 6: Final answer
    x = 4,605.31

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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.