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Finding the Fourth Proportional to 9,084.70, 13,609.05 and 8,002.30

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Solution

The fourth proportional to 9,084.70, 13,609.05 and 8,002.30 is: 11,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.70 : 13,609.05 = 8,002.30 : x
  2. Step 2: Convert to fraction form
    9,084.70/13,609.05 = 8,002.30/x
  3. Step 3: Cross multiply
    9,084.70x = 13,609.05 × 8,002.30
  4. Step 4: Simplify right side
    9,084.70x = 108,903,700.82
  5. Step 5: Solve for x
    x = 108,903,700.82/9,084.70
  6. Step 6: Final answer
    x = 11,987.59

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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.