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Finding the Fourth Proportional to 30,611.63, 45,912.06 and 8,419.66

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Solution

The fourth proportional to 30,611.63, 45,912.06 and 8,419.66 is: 12,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.63 : 45,912.06 = 8,419.66 : x
  2. Step 2: Convert to fraction form
    30,611.63/45,912.06 = 8,419.66/x
  3. Step 3: Cross multiply
    30,611.63x = 45,912.06 × 8,419.66
  4. Step 4: Simplify right side
    30,611.63x = 386,563,935.10
  5. Step 5: Solve for x
    x = 386,563,935.10/30,611.63
  6. Step 6: Final answer
    x = 12,628.01

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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.