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Finding the Fourth Proportional to 30,611.53, 45,911.49 and 8,419.42

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Solution

The fourth proportional to 30,611.53, 45,911.49 and 8,419.42 is: 12,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.53 : 45,911.49 = 8,419.42 : x
  2. Step 2: Convert to fraction form
    30,611.53/45,911.49 = 8,419.42/x
  3. Step 3: Cross multiply
    30,611.53x = 45,911.49 × 8,419.42
  4. Step 4: Simplify right side
    30,611.53x = 386,548,117.14
  5. Step 5: Solve for x
    x = 386,548,117.14/30,611.53
  6. Step 6: Final answer
    x = 12,627.53

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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.