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Finding the Fourth Proportional to 9,620.76, 14,404.50 and 5,228.28

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Solution

The fourth proportional to 9,620.76, 14,404.50 and 5,228.28 is: 7,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.76 : 14,404.50 = 5,228.28 : x
  2. Step 2: Convert to fraction form
    9,620.76/14,404.50 = 5,228.28/x
  3. Step 3: Cross multiply
    9,620.76x = 14,404.50 × 5,228.28
  4. Step 4: Simplify right side
    9,620.76x = 75,310,759.26
  5. Step 5: Solve for x
    x = 75,310,759.26/9,620.76
  6. Step 6: Final answer
    x = 7,827.94

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