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Finding the Fourth Proportional to 9,313.36, 13,978.81 and 3,395.96

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Solution

The fourth proportional to 9,313.36, 13,978.81 and 3,395.96 is: 5,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.36 : 13,978.81 = 3,395.96 : x
  2. Step 2: Convert to fraction form
    9,313.36/13,978.81 = 3,395.96/x
  3. Step 3: Cross multiply
    9,313.36x = 13,978.81 × 3,395.96
  4. Step 4: Simplify right side
    9,313.36x = 47,471,479.61
  5. Step 5: Solve for x
    x = 47,471,479.61/9,313.36
  6. Step 6: Final answer
    x = 5,097.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.