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Finding the Fourth Proportional to 9,319.18, 13,978.40 and 3,163.18

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Solution

The fourth proportional to 9,319.18, 13,978.40 and 3,163.18 is: 4,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.18 : 13,978.40 = 3,163.18 : x
  2. Step 2: Convert to fraction form
    9,319.18/13,978.40 = 3,163.18/x
  3. Step 3: Cross multiply
    9,319.18x = 13,978.40 × 3,163.18
  4. Step 4: Simplify right side
    9,319.18x = 44,216,195.31
  5. Step 5: Solve for x
    x = 44,216,195.31/9,319.18
  6. Step 6: Final answer
    x = 4,744.64

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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.