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Finding the Fourth Proportional to 9,318.96, 13,978.31 and 2,299.05

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Solution

The fourth proportional to 9,318.96, 13,978.31 and 2,299.05 is: 3,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.96 : 13,978.31 = 2,299.05 : x
  2. Step 2: Convert to fraction form
    9,318.96/13,978.31 = 2,299.05/x
  3. Step 3: Cross multiply
    9,318.96x = 13,978.31 × 2,299.05
  4. Step 4: Simplify right side
    9,318.96x = 32,136,822.11
  5. Step 5: Solve for x
    x = 32,136,822.11/9,318.96
  6. Step 6: Final answer
    x = 3,448.54

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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.