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Finding the Fourth Proportional to 30,546.31, 45,817.80 and 8,358.09

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Solution

The fourth proportional to 30,546.31, 45,817.80 and 8,358.09 is: 12,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.31 : 45,817.80 = 8,358.09 : x
  2. Step 2: Convert to fraction form
    30,546.31/45,817.80 = 8,358.09/x
  3. Step 3: Cross multiply
    30,546.31x = 45,817.80 × 8,358.09
  4. Step 4: Simplify right side
    30,546.31x = 382,949,025.12
  5. Step 5: Solve for x
    x = 382,949,025.12/30,546.31
  6. Step 6: Final answer
    x = 12,536.67

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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.