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Finding the Fourth Proportional to 9,164.80, 13,747.20 and 5,422.60

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Solution

The fourth proportional to 9,164.80, 13,747.20 and 5,422.60 is: 8,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.80 : 13,747.20 = 5,422.60 : x
  2. Step 2: Convert to fraction form
    9,164.80/13,747.20 = 5,422.60/x
  3. Step 3: Cross multiply
    9,164.80x = 13,747.20 × 5,422.60
  4. Step 4: Simplify right side
    9,164.80x = 74,545,566.72
  5. Step 5: Solve for x
    x = 74,545,566.72/9,164.80
  6. Step 6: Final answer
    x = 8,133.90

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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.