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Finding the Fourth Proportional to 9,489.60, 14,234.40 and 7,958.70

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Solution

The fourth proportional to 9,489.60, 14,234.40 and 7,958.70 is: 11,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.60 : 14,234.40 = 7,958.70 : x
  2. Step 2: Convert to fraction form
    9,489.60/14,234.40 = 7,958.70/x
  3. Step 3: Cross multiply
    9,489.60x = 14,234.40 × 7,958.70
  4. Step 4: Simplify right side
    9,489.60x = 113,287,319.28
  5. Step 5: Solve for x
    x = 113,287,319.28/9,489.60
  6. Step 6: Final answer
    x = 11,938.05

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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.