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Finding the Fourth Proportional to 9,490.86, 13,097.97 and 5,299.11

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Solution

The fourth proportional to 9,490.86, 13,097.97 and 5,299.11 is: 7,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.86 : 13,097.97 = 5,299.11 : x
  2. Step 2: Convert to fraction form
    9,490.86/13,097.97 = 5,299.11/x
  3. Step 3: Cross multiply
    9,490.86x = 13,097.97 × 5,299.11
  4. Step 4: Simplify right side
    9,490.86x = 69,407,583.81
  5. Step 5: Solve for x
    x = 69,407,583.81/9,490.86
  6. Step 6: Final answer
    x = 7,313.10

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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.