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Finding the Fourth Proportional to 30,611.56, 45,911.96 and 8,419.58

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Solution

The fourth proportional to 30,611.56, 45,911.96 and 8,419.58 is: 12,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.56 : 45,911.96 = 8,419.58 : x
  2. Step 2: Convert to fraction form
    30,611.56/45,911.96 = 8,419.58/x
  3. Step 3: Cross multiply
    30,611.56x = 45,911.96 × 8,419.58
  4. Step 4: Simplify right side
    30,611.56x = 386,559,378.08
  5. Step 5: Solve for x
    x = 386,559,378.08/30,611.56
  6. Step 6: Final answer
    x = 12,627.89

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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.