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Finding the Fourth Proportional to 9,359.96, 12,912.90 and 5,380.16

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Solution

The fourth proportional to 9,359.96, 12,912.90 and 5,380.16 is: 7,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.96 : 12,912.90 = 5,380.16 : x
  2. Step 2: Convert to fraction form
    9,359.96/12,912.90 = 5,380.16/x
  3. Step 3: Cross multiply
    9,359.96x = 12,912.90 × 5,380.16
  4. Step 4: Simplify right side
    9,359.96x = 69,473,468.06
  5. Step 5: Solve for x
    x = 69,473,468.06/9,359.96
  6. Step 6: Final answer
    x = 7,422.41

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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.