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Finding the Fourth Proportional to 9,643.38, 13,310.31 and 5,454.06

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Solution

The fourth proportional to 9,643.38, 13,310.31 and 5,454.06 is: 7,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.38 : 13,310.31 = 5,454.06 : x
  2. Step 2: Convert to fraction form
    9,643.38/13,310.31 = 5,454.06/x
  3. Step 3: Cross multiply
    9,643.38x = 13,310.31 × 5,454.06
  4. Step 4: Simplify right side
    9,643.38x = 72,595,229.36
  5. Step 5: Solve for x
    x = 72,595,229.36/9,643.38
  6. Step 6: Final answer
    x = 7,527.99

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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.