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Finding the Fourth Proportional to 9,438.74, 13,025.73 and 5,190.02

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Solution

The fourth proportional to 9,438.74, 13,025.73 and 5,190.02 is: 7,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.74 : 13,025.73 = 5,190.02 : x
  2. Step 2: Convert to fraction form
    9,438.74/13,025.73 = 5,190.02/x
  3. Step 3: Cross multiply
    9,438.74x = 13,025.73 × 5,190.02
  4. Step 4: Simplify right side
    9,438.74x = 67,603,799.21
  5. Step 5: Solve for x
    x = 67,603,799.21/9,438.74
  6. Step 6: Final answer
    x = 7,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.