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Finding the Fourth Proportional to 9,314.28, 13,928.22 and 7,210.44

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Solution

The fourth proportional to 9,314.28, 13,928.22 and 7,210.44 is: 10,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.28 : 13,928.22 = 7,210.44 : x
  2. Step 2: Convert to fraction form
    9,314.28/13,928.22 = 7,210.44/x
  3. Step 3: Cross multiply
    9,314.28x = 13,928.22 × 7,210.44
  4. Step 4: Simplify right side
    9,314.28x = 100,428,594.62
  5. Step 5: Solve for x
    x = 100,428,594.62/9,314.28
  6. Step 6: Final answer
    x = 10,782.22

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1.5x scale

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.