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Finding the Fourth Proportional to 9,620.34, 13,276.44 and 5,428.50

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Solution

The fourth proportional to 9,620.34, 13,276.44 and 5,428.50 is: 7,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.34 : 13,276.44 = 5,428.50 : x
  2. Step 2: Convert to fraction form
    9,620.34/13,276.44 = 5,428.50/x
  3. Step 3: Cross multiply
    9,620.34x = 13,276.44 × 5,428.50
  4. Step 4: Simplify right side
    9,620.34x = 72,071,154.54
  5. Step 5: Solve for x
    x = 72,071,154.54/9,620.34
  6. Step 6: Final answer
    x = 7,491.54

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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.