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Finding the Fourth Proportional to 9,280.28, 13,920.51 and 7,428.98

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Solution

The fourth proportional to 9,280.28, 13,920.51 and 7,428.98 is: 11,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.28 : 13,920.51 = 7,428.98 : x
  2. Step 2: Convert to fraction form
    9,280.28/13,920.51 = 7,428.98/x
  3. Step 3: Cross multiply
    9,280.28x = 13,920.51 × 7,428.98
  4. Step 4: Simplify right side
    9,280.28x = 103,415,190.38
  5. Step 5: Solve for x
    x = 103,415,190.38/9,280.28
  6. Step 6: Final answer
    x = 11,143.54

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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.