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Finding the Fourth Proportional to 9,321.28, 12,863.28 and 5,342.32

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Solution

The fourth proportional to 9,321.28, 12,863.28 and 5,342.32 is: 7,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.28 : 12,863.28 = 5,342.32 : x
  2. Step 2: Convert to fraction form
    9,321.28/12,863.28 = 5,342.32/x
  3. Step 3: Cross multiply
    9,321.28x = 12,863.28 × 5,342.32
  4. Step 4: Simplify right side
    9,321.28x = 68,719,758.01
  5. Step 5: Solve for x
    x = 68,719,758.01/9,321.28
  6. Step 6: Final answer
    x = 7,372.35

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1.5x scale

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.