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Finding the Fourth Proportional to 9,620.98, 13,277.22 and 5,429.50

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Solution

The fourth proportional to 9,620.98, 13,277.22 and 5,429.50 is: 7,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.98 : 13,277.22 = 5,429.50 : x
  2. Step 2: Convert to fraction form
    9,620.98/13,277.22 = 5,429.50/x
  3. Step 3: Cross multiply
    9,620.98x = 13,277.22 × 5,429.50
  4. Step 4: Simplify right side
    9,620.98x = 72,088,665.99
  5. Step 5: Solve for x
    x = 72,088,665.99/9,620.98
  6. Step 6: Final answer
    x = 7,492.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.