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Finding the Fourth Proportional to 9,314.40, 13,960.80 and 3,764.10

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Solution

The fourth proportional to 9,314.40, 13,960.80 and 3,764.10 is: 5,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.40 : 13,960.80 = 3,764.10 : x
  2. Step 2: Convert to fraction form
    9,314.40/13,960.80 = 3,764.10/x
  3. Step 3: Cross multiply
    9,314.40x = 13,960.80 × 3,764.10
  4. Step 4: Simplify right side
    9,314.40x = 52,549,847.28
  5. Step 5: Solve for x
    x = 52,549,847.28/9,314.40
  6. Step 6: Final answer
    x = 5,641.79

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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.