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Finding the Fourth Proportional to 9,634.50, 14,452.50 and 3,059.28

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Solution

The fourth proportional to 9,634.50, 14,452.50 and 3,059.28 is: 4,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.50 : 14,452.50 = 3,059.28 : x
  2. Step 2: Convert to fraction form
    9,634.50/14,452.50 = 3,059.28/x
  3. Step 3: Cross multiply
    9,634.50x = 14,452.50 × 3,059.28
  4. Step 4: Simplify right side
    9,634.50x = 44,214,244.20
  5. Step 5: Solve for x
    x = 44,214,244.20/9,634.50
  6. Step 6: Final answer
    x = 4,589.16

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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.