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Finding the Fourth Proportional to 9,319.49, 13,978.77 and 3,475.64

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Solution

The fourth proportional to 9,319.49, 13,978.77 and 3,475.64 is: 5,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.49 : 13,978.77 = 3,475.64 : x
  2. Step 2: Convert to fraction form
    9,319.49/13,978.77 = 3,475.64/x
  3. Step 3: Cross multiply
    9,319.49x = 13,978.77 × 3,475.64
  4. Step 4: Simplify right side
    9,319.49x = 48,585,102.27
  5. Step 5: Solve for x
    x = 48,585,102.27/9,319.49
  6. Step 6: Final answer
    x = 5,213.28

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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.