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Finding the Fourth Proportional to 9,522.50, 13,141.05 and 5,330.78

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Solution

The fourth proportional to 9,522.50, 13,141.05 and 5,330.78 is: 7,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.50 : 13,141.05 = 5,330.78 : x
  2. Step 2: Convert to fraction form
    9,522.50/13,141.05 = 5,330.78/x
  3. Step 3: Cross multiply
    9,522.50x = 13,141.05 × 5,330.78
  4. Step 4: Simplify right side
    9,522.50x = 70,052,046.52
  5. Step 5: Solve for x
    x = 70,052,046.52/9,522.50
  6. Step 6: Final answer
    x = 7,356.48

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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.