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Finding the Fourth Proportional to 9,318.99, 13,978.02 and 3,475.14

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Solution

The fourth proportional to 9,318.99, 13,978.02 and 3,475.14 is: 5,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.99 : 13,978.02 = 3,475.14 : x
  2. Step 2: Convert to fraction form
    9,318.99/13,978.02 = 3,475.14/x
  3. Step 3: Cross multiply
    9,318.99x = 13,978.02 × 3,475.14
  4. Step 4: Simplify right side
    9,318.99x = 48,575,576.42
  5. Step 5: Solve for x
    x = 48,575,576.42/9,318.99
  6. Step 6: Final answer
    x = 5,212.54

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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.