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Finding the Fourth Proportional to 9,490.89, 13,097.43 and 5,299.14

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Solution

The fourth proportional to 9,490.89, 13,097.43 and 5,299.14 is: 7,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.89 : 13,097.43 = 5,299.14 : x
  2. Step 2: Convert to fraction form
    9,490.89/13,097.43 = 5,299.14/x
  3. Step 3: Cross multiply
    9,490.89x = 13,097.43 × 5,299.14
  4. Step 4: Simplify right side
    9,490.89x = 69,405,115.21
  5. Step 5: Solve for x
    x = 69,405,115.21/9,490.89
  6. Step 6: Final answer
    x = 7,312.81

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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.